November 2016
Public Access Category: All |

- Time:
- 11:30am - 12:30pm
- Location:
- Ramanujam Hall
- Description:
- Title: HILBERT-KUNZ MULTIPLICITY AND RELATED

TOPICS---Lecture 1

Abstract: http://www.math.iitb.ac.in/~seminar/algebra/watanabe-02-nov-16.pdf

- Time:
- 4:00pm - 5:00pm
- Description:
- Title: Ideal theory of 2-dimensional normal local rings using resolution of

singularities and a new characterization of rational singularities via core

of ideals.

Speaker: Prof. K. Watanabe (Nihon University, Japan)

Abstract: http://www.math.iitb.ac.in/~seminar/colloquium/colloq-02-nov-16.pdf

- Time:
- 11:00am - 11:50am
- Location:
- Ramanujan Hall
- Description:
- HILBERT-KUNZ MULTIPLICITY AND RELATED

TOPICS - Lecture 2

http://www.math.iitb.ac.in/~seminar/algebra/watanabe-02-nov-16.pdf

- Time:
- 12:00pm - 12:50pm
- Location:
- Ramanujan Hall
- Description:
- HILBERT-KUNZ MULTIPLICITY AND RELATED

TOPICS - Lecture 3

http://www.math.iitb.ac.in/~seminar/algebra/watanabe-02-nov-16.pdf

- Time:
- 11:00am - 12:00pm
- Location:
- Ramanujan Hall
- Description:
- Title: Equiangular lines in Euclidean Space

Abstract: Consider the following extremal (geometric) problem: Suppose we

have a set of lines in R^d such that the angle between any two of these is

the same. How many lines can there be?

As it turns out, one can an upper bound that is quadratic in the dimension

d without too much difficulty. There are also (several) examples of sets

of lines of size $\Omega(d^2)$ in $R^d$ that form an equi-angular set.

However, in all these examples, the angle between a pair of lines goes to

0 as d goes to infinity. If we insist that the angle is fixed then the

bound becomes linear. We shall see a proof of this due to B. Bukh.

- Time:
- 2:30pm - 3:30pm
- Location:
- Ramanujan Hall
- Description:
- Title: Rational Singularities V

- Time:
- 10:00am - 11:00am
- Location:
- Ramanujan Hall
- Description:
- Title: Finite Element Analysis of Dirichlet Boundary Control Problems

http://www.math.iitb.ac.in/~seminar/pde/sudipto-choudhury-10-nov-16.pdf

- Time:
- 2:30pm - 3:30pm
- Location:
- Ramanujan Hall
- Description:
- Title: Rational Singularities V

- Time:
- 4:00pm - 5:00pm
- Location:
- Ramanujan Hall
- Description:
- Speaker: Prof. Athanase Papadopoulos, Univeristy of Strasbourg, France

Title: Teichmüller spaces of surfaces with boundary

Abstract: In this talk we present the main problems and some recent results on Teichmüller spaces of surfaces with boundary.

Poster: http://www.math.iitb.ac.in/~seminar/colloquium/colloq-16-nov-16.pdf

- Time:
- 10:30am - 11:30am
- Location:
- Ramanujan Hall
- Description:
- Title: "Asymptotic of Number of Similarity Classes of Commuting Tuples".

Abstract: Let c(n,k,q) be the number of simultaneous similarity classes of k-tuples of commuting n x n matrices over a finite field of order q. Wridaye determine the asymptotic behaviour of c(n,k,q) as a function of k, for a fixed n and q.

- Time:
- 2:30pm - 3:30pm
- Location:
- Ramanujan Hall
- Description:
- Speaker: Prof. Phoolan Prasad, IISc Bangalore

Title: Evolution of Curves and Surfaces: Closure Relations of Ray

Equations, Kinematical Conservation Laws (KCL), Weakly Nonlinear

Ray Theory and Curvature Driven Evolution