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 SÃ¸rensen.
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. SÃ¸rensen 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.