4pm» Prof. Ricardo Ruiz Baier Mathematical Institute — Oxford University- Time:
- 4:00pm - 5:00pm
- Location:
- Ramanujan Hall
- Description:
- Prof. Ricardo Ruiz Baier Mathematical Institute — Oxford University
Title: New three-field mixed formulations for elasticity and poroelasticity
Abstract: In this talk we present two new formulations for elasticity
and poromechanics that include rotations and total fluid-solid
pressure as additional unknowns. We address the unique solvability of
each problem and construct finite-element and finite-volume-element
schemes for their numerical approximation. The stability and
convergence of the methods are rigorously derived, and these results
are of particular interest in the incompressible limit. We finally
discuss how the formulations are modified when solving an interface
problem defined by the coupling of an elastic and a poroelastic
medium.
- Time:
- 3:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Prof. Hira Lal Koul Michigan State University
Title: Minimum distance model checking in Berkson
measurement error models with validation data
Abstract: In this talk we present two new formulations for elasticity
and poromechanics that include rotations and total fluid-solid
pressure as additional unknowns. We address the unique solvability of
each problem and construct finite-element and finite-volume-element
schemes for their numerical approximation. The stability and
convergence of the methods are rigorously derived, and these results
are of particular interest in the incompressible limit. We finally
discuss how the formulations are modified when solving an interface
problem defined by the coupling of an elastic and a poroelastic
medium.
- Time:
- 4:00pm - 5:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Department Colloquium
Speaker: Prof. Jean-Marc Deshouillers, Univ. Bordeaux, France
Time & Date: 4-5pm, 10th January 2018 (Wednesday)
Venue: Ramanujan Hall
Title: Sums of powers, a probabilistic approach
Abstract: Erd\H{o}s and R\’{e}nyi introduced in 1960 the study of sums
of $s$-th powers by probability methods. Their model has been largely
developed since then. The talk will give a survey of this probabilistic
approach, up to the most recent contributions obtained jointly
with Javier Cilleruelo.
- Time:
- 11:30am - 1:00pm
- Location:
- Room No. 115, Department of Mathematics
- Description:
- Speaker: J. K. Verma
Title: Minkowski inequality for Hilbert-Samuel multiplicity
Abstract: We shall present the solution by David Rees and
RY Sharp of Teissier's conjectures about Hilbert-Samuel multiplicity
and mixed multiplicities of ideals. We will first review preliminaries about
the Northcott-Rees theory of reductions and Hilbert functions of a
set of ideals.
Date & Time: Tuesday 16 Jan 2018, 11:30-1pm
Venue: Room 115
- Time:
- 3:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Speaker: Dr. Manas Kar
Date & Time: 17th January 2018, 3pm
Venue: Ramanujan Hall
Title: Inverse problems for reconstructing inclusion and identifying
unknown parameter.
Abstract: In general, inverse problems are those where one needs to
recover the
unknown parameter of a system from the knowledge of the external
observation. In
this talk, I will mainly give an overview of Calder\'on’s inverse problems
arising
in several linear and nonlinear partial differential equations. I will
discuss two
different kinds of inverse problems for the Maxwell system and p-Laplace
equation.
One is the parameter identification problems and another one is the shape
reconstruction issues. In particular, I will concentrate on the problem of
determining the conductivity of a medium and the shape of an inclusion
from the
knowledge of boundary voltage or current measurements.
- Time:
- 4:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Mathematics Colloquium
Speaker: Prof. Dr. Kishore Marathe
Date & Time: 17th January 2018, 4pm
Venue: Ramanujan Hall
Title: From Moonshine to Mock Moonshine
Abstract : We begin with a review of moonshine for sporadic groups
indicating the
current
status of this active new area of research which intersects several fields
in mathematics
and theoretical physics. We then discuuss the relation of black hole
quantum gravity and
mock modular forms originally introduced as mock theta functions by
Ramanujan.
- Time:
- 4:00pm
- Description:
- Speaker: Dr. Harsha Hutridurga
Department of Mathematics
Imperial College London
Title: AVERAGING AND INITIAL LAYER ANALYSIS IN PASSIVE TRANSPORT
Date & Time: Thursday (18th),at 4PM.
Abstract: Attached.
- Time:
- 2:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Popular Lecture
Speaker: Prof. S. M. Srivastava, ISI Kolkata
Title: A Cute Result on Analytic Functions
Day & Date: Friday, 19th January 2018
Time: 2.30 pm
Venue: Ramanujan Hall
Abstract: (See the attached PDF file)
Note: Prof. Srivastava has indicated that this seminar would be
accessible to M.Sc. students and that it will highlight some nice
aspects of set theory.
- Time:
- 2:00pm - 3:15pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- CACAAG (Combinatorial Aspects of Commutative Algebra and Algebraic
Geometry) seminar
Speaker: Dr. Ashwin Deopurkar, TIFR Mumbai
Date & Time: 22nd January, 2018, 2-3:15pm
Venue: Ramanujan Hall
Title: Picard group of Tropical curves
Abstract: I'd prove that the Picard group of a tropical curve of genus g
is a real torus of dimension g.
- Time:
- 11:30am - 1:00pm
- Location:
- Room No. 215, Department of Mathematics
- Description:
- Commutative algebra seminar
Tuesday, 23 Jan
Venue: Room 215
Time: 11.30 am-1.00 pm.
Speaker: JK Verma
Title: Minkowski inequality for multiplicity
Abstract: We will present basic facts about the analytic spread of an
ideal and
then present the Rees-Sharp proof of Teissier's conjecture for 2-dimensional
local rings.
- Time:
- 2:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Title: Emmy Noether (1882-1935), the Noether School and the Change of
Mathematical
Thinking:
About “modernization” and “algebraization”.
Abstract: attached.
Date & Time: 24 January 2018, 2:30pm
Venue: Ramanujan Hall
- Time:
- 4:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Mathematics Colloquium
Speaker: Prof. Peter Beelen, Technical University of Denmark
Title: A new family of maximal curves.
Day, Date and Time: Wednesday, 24th January 2018, 4 PM
Venue: Ramanujan Hall
Abstract:
Let C be an algebraic curve defined over a finite field with q elements. The
Hasse-Weil bound gives an upper bound on the number of rational points on
C. An
algebraic curve is called maximal if this upper bound is attained.
On of the most important examples of a maximal curve is the Hermitian
curve, which
can be defined by the equation x^q+x=y^(q+1) over the field GF(q^2) with q^2
elements. It has genus q(q-1)/2 and it is not hard to show that any
maximal curve
over GF(q^2) has genus at most q(q-1)/2. One of the main open problems in
this area
is to classify (the genera of) all maximal curves for a given finite field
GF(q^2).
In a recent work together with Maria Montanucci, a new family of maximal
curves was
discovered. In this talk I will give an introduction to the topic as well
as present
this new family of curves.
- Time:
- 10:30am
- Location:
- Room No. 215, Department of Mathematics
- Description:
- Topology Seminar
Date and Time: Wednesday 24th January 2018, at 2PM
Venue: Room 215
Speaker: Samik Basu (IACS)
Title : Equivariant cell complexes and freeness theorems
Abstract : We discuss analogues of the theorem "A CW complex with even
dimensional
cells has free homology" for G-spaces. For the cyclic group of order p, the
"freeness theorem" was first proved by Lewis, and subsequently the result was
improved by Ferland -Lewis. We generalize this result to other cyclic
groups (in
joint work with Surojit Ghosh).
- Time:
- 3:00pm - 4:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
Speaker: Prof. Laurence Grammont, ICJ, University of Lyon, Saint Etienne,
France
Title: Generalisation of the Kimeldorf-Wahba correspondence for
constrained interpolation
Abstract: attached
Day and Date: Thursday, 25th January 2018
Time: 15:00-16:00
Venue: Ramanujan Hall, Department of Mathematics
- Time:
- 4:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Speaker: Jean-Pierre Raymond.
Affiliation: Institute of Mathematics, Paul Sabatier
University,Toulouse,France.
Title and Abstract: Attached.
Venue:Ramanujan Hall
Date & time: 25 January (Thursday), at 4 PM.
- Time:
- 11:00am
- Location:
- Ramanujan Hall
- Description:
- Speaker: Pramod Das, Research Scholar, Delhi University
Time & Date: 11am, January 29
Venue: Ramanujan Hall
Title & abstract: attached
- Time:
- 2:00pm - 3:15pm
- Location:
- Ramanujan Hall
- Description:
- CACAAG (Combinatorial Aspects of Commutative Algebra and Algebraic
Geometry) seminar
Speaker: Dr. Ashwin Deopurkar, TIFR Mumbai
Date & Time: 29 January, 2018, 2-3:15pm
Venue: Ramanujan Hall
- Time:
- 11:30am - 1:00pm
- Location:
- Room No. 215
- Description:
- Commutative algebra seminar
30 Jan 2018
11.30-1.00
Room 215
Speaker: RV Gurjar
Title. A geometric proof of Minkowski inequality (Teissier's
Conjecture), and related results.
Abstract. Using resolution of singularity we will give a geometric proof of
Teissier's Conjecture about the multiplicity of the product of two ideals.
A stronger form of this proved in Jugal Verma's lecture will also be
proved. We will also give a short proof of C.P.Ramanujam's geometric
interpretation of the multiplicity of a local ring.
- Time:
- 2:30pm - 3:30pm
- Location:
- Ramanujan Hall
- Description:
- Number Theory Seminar
Speaker: Vincent Sécherre, Université de Versailles Saint-Quentin
Date & Time: Tuesday, January 30, 14:30-15:30.
Venue: Ramanujan Hall
Title: Supercuspidal representations of GL(n,K) distinguished by GL(n,F),
with K/F a quadratic extension of p-adic fields.
Abstract: Let p be an odd prime number and K/F be a quadratic extension of
p-adic fields. Say that an irreducible representation of GL(n,K) is
distinguished by GL(n,F) if its vector space carries a GL(n,F)-invariant
nonzero linear form. Any distinguished representation is isomorphic to the
contragredient of its Gal(K/F)-conjugate, but the converse is not true. We
will explain how to canonically associate to any
Gal(K/F)-selfcontragredient supercuspidal representation of GL(n,K) a
finite tamely ramified extension T of F and a character of the
multiplicative group of T, by using Bushnell-Kutzko’s theory of types, and
how to get a necessary and sufficient condition on this character for this
supercuspidal representation to be distinguished.