Monge-Ampere equation
Speaker: Sooraj A P, IIT Bombay
Host: Harsha Hutridurga
Title: On the Monge-Ampere equation
Time, day and date: 11:30:00 AM – 12:30:00 PM, Thursday, February 12
Venue: Room 215
Abstract: We shall see a proof of the existence of solutions to the zero-boundary Dirichlet problem for the Alexandrov formulation of the Monge-Ampère equation. Later, we shall look at extensions of this to the case where the boundary data is an arbitrary continuous function.

Commutative algebra seminar
Speaker: Sayed Sadiqul Islam, IIT Bombay
Host: Tony J P
Title: F^e-modules with applications to D-modules-2
Time, day and date: 3:00:00 PM – 4:00:00 PM, Thursday, February 12
Venue: Ramanujan Hall
Abstract: In this talk, I will present the theory of F^e-modules, a natural extension of Lyubeznik’s F-module theory using higher powers of the Frobenius map. I will discuss a recent result by Wenliang Zhang, which extends properties of the Matlis dual of F-finite F modules to D-submodules of F^e-finite F^e-modules. Finally, I will explain how these results are applied to the Lyubeznik–Yildirim conjecture in mixed characteristic.

Algebraic groups seminar
Speaker: Shripad M. Garge, IIT Bombay
Title: Basic results on algebraic groups. I
Time, day and date: 4:00:00 PM - 5:30:00 PM, Thursday, February 12
Venue: Room No .215
Abstract: We begin with the first chapter of Digne-Michel, Representations of finite groups of Lie type.