- 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.