11:45am» R.V. Gurjar- Time:
- 11:45am - 1:00pm
- Location:
- Room No. 113, Department of Mathematics
- Description:
- Commutative Algebra and Algebraic Geometry seminar.
Speaker: R.V. Gurjar.
Affiliation: IIT Bombay.
Date and Time: Tuesday 04 February, 11:45 am - 01:00 pm.
Venue: Room 113, Department of Mathematics.
Title: P. Griffith's results about abelian covers of regular local rings.
Abstract: We will discuss a structure theorem of a factorial abelian
extension of a regular local ring.
- Time:
- 4:00pm - 5:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- CACAAG seminar.
Speaker: Madhusudan Manjunath.
Affiliation: IIT Bombay.
Date and Time: Tuesday 04 February, 04:00 pm - 05:00 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: A Gentle Introduction to Tropical Algebraic Geometry.
Abstract: We will start with the foundations of tropical algebraic
geometry and then give a glimpse of its applications to algebraic and
arithmetic geometry. The talk will be accessible to PhD students.
- Time:
- 11:00am - 12:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Combinatorics Seminar.
Speaker: Pranabendu Misra.
Affiliation: Max-Planck Institute for Informatics.
Date and Time: Wednesday 05 February, 11:00 am - 12:30 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Deterministic Representation of Linear Matroids.
Abstract: Matroids are combinatorial objects that generalize the notion of
linear independence. They have several applications in design and analysis
of algorithms. Linear matroids are a subclass of matroids that can be
represented by a matrix. Recently, these matroids have found applications
in Parameterized Complexity, including some breakthrough results. In this
talk, we will discuss the problem of constructing a matrix representation
of linear matroids, especially via deterministic algorithms.
- Time:
- 4:00pm - 5:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Mathematics Colloquium.
Speaker: Siva Athreya.
Affiliation: Indian Statistical Institute, Bangalore.
Date and Time: Wednesday 05 February, 04:00 pm - 05:00 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Dense Networks: Sampling and Dynamics.
Abstract: Understanding hidden populations governed by an underlying
network has always been a challenge using standard sampling methods. The
reasons being cost, lack of sampling frame, privacy concerns, and
populations constituting a small proportion. A network is dense if the
number of edges scales quadratically with the number of vertices. In this
talk we shall discuss limitations of a particular sampling procedure
called Respondent Driven Sampling intended to understand hidden
populations and a natural class of dynamics in dense networks arising from
such re-sampling in multi-type population.
- Time:
- 11:30am - 12:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Algebraic Geometry seminar.
Speaker: Anand Sawant.
Affiliation: School of Mathematics, TIFR.
Date and Time: Thursday 06 February, 11:30 am - 12:30 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Central extensions of algebraic groups, II.
Abstract: This talk will be a continuation of the Colloquium talk last
week, where we will begin wth the work of Brylinski-Deligne.
- Time:
- 4:00pm - 5:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Geometry and Topology seminar.
Speaker: Mrinmoy Datta.
Affiliation: Arctic University of Norway, Tromso.
Date and Time: Thursday 06 February, 04:00 pm - 05:00 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Hermitian surfaces over finite fields and a conjecture by Sørensen.
Abstract: Hermitian varieties, first studied by Bose and Chakravati in
1966, are a class of vastly studied objects in the area of finite geometry
and coding theory. During 1991, in his PhD thesis, A. B. Sørensen proposed
a conjecture on the maximum number of rational points on the intersection
of a Hermitian surface and a surface of degree d defined over the same
field. Edoukou's work in 2006 towards proving the conjecture for d=2
marked the first progress towards this conjecture. In 2018, in a joint
work with Peter Beelen, we have shown that the conjecture is true for d=3.
Finally, in a joint work with Peter Beelen and Masaaki Homma, we have
proved the conjecture completely. In this talk, we will give an account of
these developments.
- Time:
- 2:00pm - 3:15pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Partial Differential Equations seminar.
Speaker: M. Vanninathan.
Affiliation: IIT Bombay.
Date and Time: Friday 07 February, 02:00 pm - 03:15 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Asymptotic solutions of Hyperbolic PDE.
Abstract: We discuss several aspects of asymptotic solutions to some
models of Hyperbolic PDE with small wave lengths including their
construction and their justification. Necessary tools to carry out these
tasks will be introduced.
- Time:
- 4:00pm - 5:00pm
- Location:
- Room No 216 Department of Mathematics
- Description:
- Mathematics Colloquium.
Speaker: Marie-Francoise Roy.
Affiliation: University of Rennes.
Date and Time: Monday 10 February, 04:00 pm - 05:00 pm.
Venue: Room 216, Department of Mathematics.
Title: Hilbert 17th problem: classical proof and recent effectivity results.
Abstract: Hilbert 17th problem is asking whether a non negative polynomial
is always a sum of squares. We discuss Artin’s (1927) positive answer to
this problem and explain why this answer did not provide an effective
method for constructing the sum of squares. We describe primitive
recursive effective results obtained by Kreisel and his students in the
fifties. Finally we explain the first elementary recursive degree bound we
obtain, a tower of five exponentials. A precise bound in terms of the
number and degree of the polynomials and their number of variables is
provided. This is a joint work with Henri Lombardi and Daniel Perrucci.
- Time:
- 2:00pm - 3:15pm
- Location:
- Room No. 114, Department of Mathematics
- Description:
- Partial Differential Equations seminar.
Speaker: M. Vanninathan.
Affiliation: IIT Bombay.
Date and Time: Tuesday 11 February, 02:00 pm - 03:15 pm.
Venue: Room 114, Department of Mathematics.
Title: Asymptotic solutions of Hyperbolic PDE II.
Abstract: We discuss several aspects of asymptotic solutions to some
models of Hyperbolic PDE with small wave lengths including their
construction and their justification. Necessary tools to carry out these
tasks will be introduced.
- Time:
- 3:30pm - 5:00pm
- Location:
- Room No. 215 Department of Mathematics
- Description:
- Commutative Algebra and Algebraic Geometry seminar.
Speaker: R.V. Gurjar.
Affiliation: IIT Bombay.
Date and Time: Tuesday 11 February, 03:30 pm - 05:00 pm.
Venue: Room 215, Department of Mathematics.
Title: Different differents.
Abstract: We will discuss Noether (also called homological) different,
Dedekind different, and Kahler different and their relationship with each
other.
- Time:
- 11:00am
- Location:
- Room No. 114, Department of Mathematics
- Description:
- Combinatorics Seminar.
Speaker: Anuj Vora.
Affiliation: Systems and Control Dept., IIT Bombay.
Date and Time: Wednesday 12 February, 11:00 am - 12:30 pm.
Venue: Room 114, Department of Mathematics.
Title: Zero Error Strategic Communication.
Abstract: We consider a setting between a sender and a receiver, where the
receiver tries to exactly recover a source sequence privately known to the
sender. However, unlike the usual setting of communication, the sender
here aims to maximize its utility and may have an incentive to lie about
its true information. We show that the maximum number of sequences that
can be recovered by the receiver grows exponentially and is given by the
largest independent set of a graph defined on sequences. We then define a
notion of the strategic capacity of a graph and show that it is lower
bounded by the independence number of a suitably defined graph on the
alphabet. Moreover, the Shannon capacity of the graph is an upper bound on
the capacity. This talk will briefly discuss the Shannon's zero-error
capacity problem. We then proceed to derive bounds on the strategic
capacity and give exact values for perfect graphs. If time permits, we
will also discuss the case where the receiver aims for asymptotically
vanishing probability of error.
- Time:
- 4:00pm - 5:00pm
- Location:
- Room No. 105 Department of Mathematics
- Description:
- Probability seminar.
Speaker: Kartick Adhikari.
Affiliation: I.I.T Technion, Israel.
Date and Time: Thursday 13 February, 04:00 pm - 05:00 pm.
Venue: Room 105, Department of Mathematics.
Title: The Spectrum of Dense Random Geometric Graphs.
Abstract: We study the spectrum of Laplacian of a random geometric graph,
in a regime where the graph is dense and highly connected. As opposed to
other random graph models (e.g. the Erdos-Renyi random graph), even when
the graph is dense, not all the eigenvalues are concentrated around 1. In
the case where the vertices are generated uniformly in a unit
d-dimensional box, we show that for every $0\le k \le d$ there are
$\binom{d}{k}$ eigenvalues at $1-2^{-k}$. The rest of the eigenvalues are
indeed close to 1. The spectrum of the graph Laplacian plays a key role in
both theory and applications. Aside from the interesting mathematical
phenomenon we reveal here, the results of this paper can also be used to
analyze the homology of the random Vietoris-Rips complex via spectral
methods.
The talk will be based on a joint work with R. Adler, O. Bobrowski and R.
Rosenthal.
- Time:
- 2:30pm - 3:30pm
- Location:
- Room No. 114, Department of Mathematics
- Description:
- Partial Differential Equations seminar.
Speaker: Vivek Tewary.
Affiliation: IIT Bombay.
Date and Time: Friday 14 February, 02:30 pm - 03:30 pm.
Venue: Room 114, Department of Mathematics.
Title: Bloch wave approach to almost periodic homogenization.
Abstract: Bloch wave homogenization is a spectral method for obtaining
effective coefficients for periodically heterogeneous media. This method
hinges on the direct integral decomposition of periodic operators, which
is not available in a suitable form for almost periodic operators. In
particular, the notion of Bloch eigenvalues and eigenvectors does not
exist for almost periodic operators. However, we are able to recover the
homogenization result in this case, by employing a sequence of periodic
approximations to almost periodic operators. Another approach, that
employs periodic lifting of quasiperiodic operators is also discussed. We
also establish a rate of convergence for approximations of homogenized
tensors for a class of almost periodic media
- Time:
- 3:30pm - 4:45pm
- Location:
- Room 215, Department of Mathematics
- Description:
- Partial Differential Equations seminar.
Speaker: M. Vanninathan.
Affiliation: IIT Bombay.
Date and Time: Monday 17 February, 03:30 pm - 04:45 pm.
Venue: Room 215, Department of Mathematics.
Title: Asymptotic solutions of Hyperbolic PDE III.
Abstract: We discuss several aspects of asymptotic solutions to some
models of Hyperbolic PDE with small wave lengths including their
construction and their justification. Necessary tools to carry out these
tasks will be introduced.
- Time:
- 3:30pm - 5:00pm
- Location:
- Room 215, Department of Mathematics
- Description:
- Commutative Algebra seminar.
Speaker: Tony Joseph Puthenpurakal.
Affiliation: IIT Bombay.
Date and Time: Tuesday 18 February, 03:30 pm - 05:00 pm.
Venue: Room 215, Department of Mathematics.
Title: Localization of complete intersections.
Abstract: We give an elementary proof of the fact that localization of
complete intersection are complete intersections
- Time:
- 4:30pm - 5:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- CACAAG seminar.
Speaker: Madhusudan Manjunath.
Affiliation: IIT Bombay.
Date and Time: Tuesday 18 February, 04:30 pm - 05:30 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Introduction to Tropical Algebraic Geometry, Part II: Applications.
Abstract: We will give a glimpse of applications of tropical geometry to
algebraic geometry, particularly the theory of algebraic curves. We will
also mention some potential topics for future work. The talk will not
assume any special background, PhD and MSc students are specially welcome
- Time:
- 11:00am
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Combinatorics Seminar.
Speaker: Murali K. Srinivasan.
Affiliation: IIT Bombay.
Date and Time: Wednesday 19 February, 11:00 am - 12:30 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: A simple recursive algorithm for computing the zonal characters of
the symmetric group (= eigenvalues of the perfect matching association
scheme).
- Time:
- 2:30pm - 3:45pm
- Location:
- Room No. 215 Department of Mathematics
- Description:
- Partial Differential Equations seminar.
Speaker: M. Vanninathan.
Affiliation: IIT Bombay.
Date and Time: Wednesday 19 February, 02:30 pm - 03:45 pm.
Venue: Room 215, Department of Mathematics.
Title: Asymptotic solutions of Hyperbolic PDE IV.
Abstract: We discuss several aspects of asymptotic solutions to some
models of Hyperbolic PDE with small wave lengths including their
construction and their justification. Necessary tools to carry out these
tasks will be introduced.
- Time:
- 4:00pm - 5:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Mathematics Colloquium I.
Speaker: Mythily Ramaswamy.
Affiliation: Chennai Mathematical Institute.
Date and Time: Wednesday 19 February, 04:00 pm - 05:00 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Time Periodic flows and their stabilization.
Abstract: Fluid flows have been studied for a long time, with a view to
understand better the models like channel flow, blood flow, air flow in
the lungs etc. Here we focus on a time periodic fluid flow model. Local
stabilization here concerns the decay of the perturbation in the flow near
a periodic trajectory. The main motivating example is the incompressible
Navier-Stokes system. I will discuss the general framework to study
periodic solutions and then indicate some results in this direction.
- Time:
- 2:00pm - 3:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Combinatorics Seminar.
Speaker: Nishad Kothari.
Affiliation: Institute of Computing, Campinas, Brazil.
Date and Time: Thursday 20 February, 02:00 pm - 3:30 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Generation Theorems for Bricks and Braces.
Abstract:
A connected graph G, on two or more vertices, is matching covered if each edge belongs to
some perfect matching. For problems pertaining to perfect matchings of a graph — such as
counting the number of perfect matchings — one may restrict attention to matching covered
graphs.
Every matching covered graph may be decomposed into a list of special matching covered
graphs called bricks (nonbipartite) and braces (bipartite); Lov´asz (1987) proved that this
decomposition is unique. The significance of this decomposition arises from the fact that
several important open problems in Matching Theory may be reduced to bricks and braces.
(For instance, a matching covered graph G is Pfaffian if and only if each of its bricks and
braces is Pfaffian.) However, in order to solve these problems for bricks and braces, one needs
induction tools; these may also be viewed as generation theorems for bricks and braces.
Norine and Thomas (2007) proved a generation theorem for simple bricks. In a joint work
with Murty (2016), we used their result to characterize K4-free planar bricks. However, it
seems very difficult to characterize K4-free nonplanar bricks. For this reason, I decided to
develop induction tools for a special class of bricks called ‘near-bipartite bricks’.
A brick G is near-bipartite if it has a pair of edges {α, β} such that G−α−β is matching
covered and bipartite. During my PhD, I (https://onlinelibrary.wiley.com/doi/10.
1002/jgt.22414) proved a generation theorem for near-bipartite bricks. In a joint work with
Carvalho (https://arxiv.org/abs/1704.08796), we used this result to prove a generation
theorem for simple near-bipartite bricks. Our theorem states that all near-bipartite bricks
may be built from 8 infinite families by means of (a finite sequence of) three operations.
McCuaig (2001) proved a generation theorem for simple braces, and used it to obtain
a structural characterization of Pfaffian braces — thus solving the Pfaffian Recognition
Problem for all bipartite graphs. A brace is minimal if removing any edge results in a graph
that is not a brace. In a recent work with Fabres and Carvalho (https://arxiv.org/abs/
1903.11170), we used McCuaig’s brace generation theorem to deduce an induction tool for
minimal braces. As an application, we proved that a minimal brace with 2n vertices has at
most 5n − 10 edges, when n ≥ 6, and we obtained a complete description of minimal braces
that meet this upper bound.
I will present the necessary background, and describe our aforementioned results. The
talk will be self-contained. I shall assume only basic knowledge of graph theory, and will not
present any lengthy proofs.
- Time:
- 4:00pm - 5:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Mathematics Colloquium II.
Speaker: Stefan Schwede.
Affiliation: University of Bonn.
Date and Time: Thursday 20 February, 04:00 pm - 05:00 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Equivariant properties of symmetric products.
Abstract: The ultimate aim of this talk is to explain a calculation of
equivariant homotopy groups of symmetric products of spheres. To lead up
to this, I will review the notion of degree of a map between spheres, and
of its equivariant refinement, for a finite group G of equivariance. The
answer is best organized as an isomorphism, due to Graeme Segal, to the
Burnside ring of the finite group G.
The filtration of the infinite symmetric product of spheres by number of
factors has received a lot of attention in algebraic topology. We
investigate this filtration for spheres of linear representations of the
finite group G; by Segal's theorem, the resulting sequence of 0th
equivariant homotopy groups starts with the Burnside ring, and it ends in
a single copy of the integers (independent of the group of equivariance).
We describe this sequence in a uniform and purely algebraic manner,
including the effect of restrictions and transfers maps that connect the
values for varying groups G.
An effort will be made to make a good portion of the talk accessible to
graduate students.
- Time:
- 3:30pm - 5:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Geometry and Topology seminar.
Speaker: Nitin Nitsure.
Date and Time: Monday 24 February, 03:30 pm - 05:00 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Cotangent complex and applications (A short series of lectures).
Abstract: Differential 1-forms are very useful in the study of
multivariate calculus or smooth manifolds. Algebraically, the module of
Kahler differentials is very useful in commutative algebra. When the
spaces (or varieties) are not smooth but have singularities, differential
1-forms are not enough. Instead there is available a more general gadget
called the cotangent complex in commutative algebra as well as in
algebraic geometry. This series of talks will begin by recalling usual
differential forms and Kahler differentials in familiar setting, and then
introduce the cotangent complex. Applications to smoothness, local
complete intersections and deformation theory will be shown. Some
familiarity with the language of commutative algebra will be assumed.
The first talk will be accessible to advanced undergraduate students.
- Time:
- 4:00pm - 5:00pm
- Location:
- Room No. G01, Computer Center (CC) Conference Room
- Description:
- Partial Differential Equations seminar (via videoconference).
Speaker: Martina Hofmanova.
Affiliation: Bielefeld University.
Date and Time: Tuesday 25 February, 04:00 pm - 05:00 pm.
Venue: Room No. G01, Computer Center (CC) Conference Room.
Title: Non-uniqueness in law of stochastic 3D Navier-Stokes equations
Abstract: I will present a recent result obtained together with R. Zhu and
X. Zhu. We consider the stochastic Navier-Stokes equations in three
dimensions and prove that the law of analytically weak solutions is not
unique. In particular, we focus on two iconic examples of a stochastic
perturbation: either an additive or a linear multiplicative noise driven
by a Wiener process. In both cases, we develop a stochastic counterpart of
the convex integration method introduced recently by Buckmaster and Vicol.
This permits to construct probabilistically strong and analytically weak
solutions defined up to a suitable stopping time. In addition, these
solutions fail the corresponding energy inequality at a prescribed time
with a prescribed probability. Then we introduce a general probabilistic
construction used to extend the convex integration solutions beyond the
stopping time and in particular to the whole time interval [0,∞].
Finally, we show that their law is distinct from the law of solutions
obtained by Galerkin approximation. In particular, non-uniqueness in law
holds on an arbitrary time interval [0,T], T>0.
- Time:
- 11:30am
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Statistics and Probability seminar.
Speaker: Nilanjan Chatterjee.
Affiliation: Johns Hopkins University.
Date and Time: Wednesday 26 February, 11:30 am - 12:30 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Statistical model building using data fusion.
Abstract: Many applications require development of complex statistical
models involving many variables. It may not, however, be possible to train
such model in a single dataset of adequately large sample size that has
measured all the variables. Instead, data may be available across multiple
studies, where any individual study may not measure all the variables, but
the different studies altogether cover all the variables. In this talk, I
will describe how to fit popular non-linear models, such as logistic
regression models, by combining information from such multiple disparate
data sources. In fact we will show it is possible to fit such models only
using "summary-level" information, i.e. estimates of parameters from
fitted simpler models, from individual studies and thus overcoming some
of the logistical and ethical issues related to sharing of individual
level data across studies. Methods will be illustrated through extensive
simulation studies and real data examples
- Time:
- 2:30pm - 3:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Geometry and Topology seminar.
Speaker: Arjun Paul.
Affiliation: IIT Bombay.
Date and Time: Wednesday 26 February, 02:30 pm - 03:30 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Fundamental group schemes of Hilbert scheme of n points on
irreducible smooth projective varieties of dimension 1 and 2.
Abstract: : Let k be an algebraically closed field of characteristic p > 3. Let X be an irreducible
smooth projective k-variety of dimension d ∈ {1, 2} over k. Fix an integer n ≥ 2, and let
Hilbn
X be the Hilbert scheme parametrizing effective 0-cycles of length n on X. In this talk
we discuss on the S-fundamental group scheme and Nori’s fundamental group scheme of
Hilbn
X. This is a joint work with Ronnie Sebastian.
- Time:
- 4:00pm - 5:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Mathematics Colloquium.
Speaker: Nilanjan Chatterjee.
Affiliation: Johns Hopkins University.
Date and Time: Wednesday 26 February, 04:00 pm - 05:00 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Disease risk prediction and causal inference using genome-wide
genetic data.
Abstract: Recent genome-wide association studies have led to
identification of thousands of genetic variants associated with complex
traits and diseases like adult height, body mass index, heart disease,
type-2 diabetes and cancer. The large scale genetic data, some of which
are publicly available, provide statisticians, mathematicians, computer
scientists and other quantitative researchers an incredible opportunity
for the development and applications of novel methods and algorithms. In
this talk, I will describe the work from our laboratory to harness the
power of these big datasets to address two most pressing problems in
public health research. In particular, I will describe simple and more
advanced machine learning methods for building genetic risk-scores from
these datasets that can be used to predict prospectively individuals' risk
of diseases. Further, I will describe how genetic data can be used to
conduct, "instrumental" variable analysis, an approach popular in
Economics, to understand causal relationship among risk-factors and health
outcomes.
- Time:
- 4:30pm - 5:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- CACAAG seminar.
Speaker: Madhusudan Manjunath.
Affiliation: IIT Bombay.
Date and Time: Thursday 27 February, 04:30 pm - 05:30 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Introduction to Tropical Algebraic Geometry, Part II: Applications.
Abstract: We will give a glimpse of applications of tropical geometry to
algebraic geometry, particularly the theory of algebraic curves. We will
also mention some potential topics for future work. The talk will not
assume any special background, PhD and MSc students are specially welcome.
- Time:
- 4:00pm - 5:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Algebraic Geometry seminar.
Speaker: Amit Tripathi.
Affiliation: IIT Hyderabad.
Date and Time: Friday 28 February, 04:00 pm - 05:00 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Vector bundles over complex projective hypersurfaces.
Abstract: In the first half of this talk I will discuss some results
related to existence (or rather non existence) of indecomposable low rank
vector bundles over complex projective space followed by similar questions
for hypersurfaces. The second half will be devoted to a generic version of
the BGS conjecture for ACM bundles on hypersurfaces and a recent joint
work with Girivaru Ravindra.