Combinatorics seminar
Speaker: Dhruv Mubayi, University of Illinois, Chicago
Host: Niranjan Balachandran
Title: Pentagons in triple systems
Time, day and date: 11:30:00 AM - 12:45:00 PM, Tuesday, July 07
Venue: Ramanujan Hall
Abstract: We consider the question of determining the minimum number of pentagons in a linear triple system with many edges and show some connections to number theory, graph theory, theoretical computer science, and geometry. This is joint work with Jozsef Solymosi

Algebra Seminar
Speaker: Chayan Karmakar, IIT Bombay
Host: Shripad M. Garge
Title: lectures on Digne-Michel
Time, day and date: 4:00:00 PM – 5:30:00 PM, Wednesday, July 08
Venue: Room 105
Abstract: -

Topology Seminar
Speaker: Sumanta Das, IIT Bombay
Host: Rekha Santhanam
Title: Mapping Class Groups: Teichmüller Space and Representation Varieties
Time, day and date: 11:30:00 AM – 12:30:00 PM, Thursday, July 09
Venue: Room 215
Abstract: In previous talks, we discussed Teichmüller space from the viewpoint of complex structures. In this talk, we will adopt a representation-theoretic approach. We will first establish the natural bijection between the Teichmüller space of a surface and the space of Fuchsian representations of its fundamental group, up to conjugation.
Motivated by this, we will consider the variety of representations into a Lie group and discuss its geometric interpretation in terms of conjugacy classes and flat principal bundles.