Student Seminar
Speaker: Satya Sai Aditya Duggaraju, IIT Bombay
Host: Suman Kumar Sahoo
Title: A proof of the Kolmogorov Extension theorem
Time, day and date: 2:00:00 PM – 3:00:00 PM, Thursday, February 05
Venue: Room 215 
Abstract: We give a proof of the Kolmogorov's extension theorem and, as an application, derive the Ionescu-Tuleca theorem. The talk only assumes familiarity with basic measure and probability theory.

Commutative Algebra seminar
Speaker: Sayed Sadiqul Islam, IIT Bombay
Host: Tony Puthenpurakal
Title: F^e-modules with applications to D-modules
Time, day and date: 3:00:00 PM - 4:00:00 PM, Thursday, February 05
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.

IPDF Seminar
Speaker: Arnab Pal, IISc Bangalore
Host: Neela Nataraj
Title: Adaptive Finite Element Methods for PDE-Constrained Optimization: Error Analysis and Quasi-optimality
Time, day and date: 3:30:00 PM - 4:30:00 PM, Thursday, February 05
Venue: Online (https://us06web.zoom.us/j/85975402584?pwd=Aaab5EKV8eZOTYRUbDYjlb235cPw6e.1 Meeting ID: 859 7540 2584 Passcode: 460208)
Abstract: Attached (https://drive.google.com/open?id=1BQoLjghh5bh5g8NUxMZbabilrSB-D78z)

Algebraic groups seminar
Speaker: Dipendra Prasad, IIT Bombay
Host: Shripad Garge
Title: Representations of GL(n, F_q)
Time, day and date: 4:00:00 PM - 5:30:00 PM, Thursday, February 05
Venue: Room 215
Abstract: We will discuss Greeen's work on the complex irreducible representations of the general linear group over a finite field.