Date and Time: Wednesday 13 February, 2.00pm - 3.30pm.
Venue: Room 216.
Title: An introduction to Lie groups, Symmetric spaces and Shimura
varieties based on examples.
Abstract: I will give an introductory course of 3-4 lectures on the topics
mentioned in the title to an audience without any prior knowledge of the
subject which is a meeting ground for Differential geometry, Algebraic
geometry, and Number theory.
Time:
4:00pm-5:00pm
Location:
Ramanujan Hall, Department of Mathematics
Description:
Popular Talk.
Speaker: Tejas Kotwal.
Date and Time: Wednesday 13 February, 4.00pm - 5.00pm.
Venue: Ramanujan Hall.
Title: Dynamics in Linear Algebra.
Abstract: In this talk, I shall first give an introduction to the subject
of dynamical systems. After going through a few concepts that arise in
dynamical systems through examples, we see how similar ideas can be
interpreted in the context of linear algebra. In particular, we deal with
finite dimensional complex vector spaces and end by understanding a simple
proof of the Cayley-Hamilton theorem. An interesting aspect of this
approach is that we can avoid the machinery of determinants altogether.
Time:
11:00am-12:30pm
Location:
Room No. 105 Department of Mathematics
Description:
PDE Seminar.
Speaker: Harsha Hutridurga.
Date and Time: Thursday 14 February, 11.00am - 12.30pm.
Venue: Room 105.
Title: Neutron Transport meets Luc Tartar.
Abstract: In this talk, we will address the homogenization of a neutron
transport model while the scattering coefficients in the equation exhibit
rapid oscillations with respect to the energy variable.
It turns out that this problem has very close links to a result of Luc
Tartar from late 1980's. Hence we will be revisiting this paper of Luc
Tartar.
Our discussions will revolve around
(i) Laplace transform and Bernstein's theorem from the theory of Regular
variation
(ii) Nevanlinna-Herglotz function from complex analysis
(iii) Two-scale convergence and Young measures from the theory of
homogenization.
This talk is based on a recent preprint:
Harsha Hutridurga, Olga Mula, Francesco Salvarani,
Homogenization in the energy variable for a neutron transport model,
arXiv:1901.10164
Weblink: https://arxiv.org/pdf/1901.10164.pdf
Time:
3:00pm
Location:
Ramanujan Hall, Department of Mathematics
Description:
Algebraic K-Theory Seminar.
Speaker: Ronnie Sebastian.
Date and Time: Friday 15 February, 3 pm
Venue: Ramanujan Hall.