Pre-synopsis Seminar

Day, Date and Time : Thursday, 26th Sept, 10:00 am.

Venue : Ramanujan hall.

Speaker : Vikrant Desai.

Title : Ergodic control of degenerate diffusions and mean field games.

Abstract : We talk about small noise limit approach to study ergodic
control problems of controlled degenerate diffusions and investigate mean
field games.

5. Complex Algebraic Surfaces

Day, Date and Time : Thursday 26th Sept, 3:30 pm

Speaker: Ronnie Sebastian

Venue : Room 215

Title: Ruled Surfaces

Abstract : We will continue with Chapter 3 in Beauville.
 

Speaker: Amal Das

Time: 26 September, 4-5 pm

Venue:  Ramanujan Hall.

Title: Concentration phenomena for a Sobolev critical equation.

Abstract: In this report we will study a non-linear elliptic equation on a
bounded smooth domain in R^n with critical Sobolev exponent, the so called
Brezis-Nirenberg problem. The equation can be written in a variational
form and weak solutions can be obtained as the critical points, in
particular, minimizers of the corresponding energy functional. The core
issue is to show that there is no concentration and minimizing sequence
converges, which holds provided one is strictly below a threshold energy
level given by the best Sobolev constant in R^n.

Bittu Singh will be presenting his APS seminar tomorrow.

Time, Day, Date :  4 Pm, Thursday, 26th Sept

Venue : Video call link: https://meet.google.com/bgc-qdgb-ny

Speaker : Bittu Singh

Title : Equivariant formality

Abstract : we explore the concept of the equivariant rational homotopy theory, which
provides a description of the equivariant rational homotopy type of a G-space in terms of Commutative differential graded algebra (CDGAs). A particularly interesting case arises when the homotopy type of the space can be derived from its cohomology algebra, a phenomenon known as formality.

6. APS Seminar

Day, Date and Time : Thursday 26th Sept, 5:00 pm

Venue : Rom 113

Speaker : Dibendu Pal

Title : Lie's third theorem

Abstract : We prove Sophus Lie's so-called third theorem that every finite
dimensional Lie algebra is the Lie algebra of a connected Lie group.

APS Seminar:

        * Title: Zeros of Quadratic Forms over Number Fields

        * Date:26th September, 2024 (Thursday)

        * Time:05:00 PM - 05:40 PM

        * Venue: Conference Room, Department of Mathematics, IIT Bombay

Lal Bahadur Sahu will present his first APS tomorrow. The details are as follows.

Time, Day, Date:  5:45 pm, Thursday, 26th September

Venue: Ramanujan Hall

Speaker: Lal Bahadur Sahu

Title: Clifford Algebra and Spinor Groups

Abstract: Using the theory of Clifford algebra, we will define the spinor groups Spin(n) and show that they form a double simply connected cover of the special orthogonal groups SO(n) for n>2.