Algebraic Geometry Seminar

Tuesday, 18 April, 2023 at 11.30 am

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Venue: Ramanujan Hall

Host: Sudarshan Gurjar

Speaker: Nitin Nitsure

Affiliation: TIFR (Retd)

Title: The cotangent complex

IPDF Seminar

Tuesday, 18 April 2023, 2.30 pm

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Venue: Ramanujan Hall

Host: Rekha Santhanam

Speaker: Navnath Daundkar

Affiliation: IIT Bombay

Title: Topological Complexity of fibre bundles, lower bounds on higher topological complexity and its Applications

Abstract:  For a path-connected space, Farber introduced a numerical homotopy invariant called topological complexity. Farber gave an additive upper bound on the topological complexity of product spaces. In the first part of this talk, we show that fibre bundles have such an upper bound under certain conditions. As an application, we obtain a tight upper bound on the topological complexity of higher-dimensional Klein bottles. This is based on the joint work with Prof. Soumen Sarkar. In the next part of this talk, we study a higher analogue of topological complexity. Here we improve the usual cohomological lower bound by introducing the concept of higher TC-weights. Then we use this to show that nth topological complexity of Seifert fibre manifolds is either 3n or 3n+1. This is based on joint work with Prof. Rekha Santhanam and Soumyadip Thandar.

Algebraic Groups seminar

Tuesday, 18 April 2023, 4 pm

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Venue: Room 215

Host: Shreepad Garge

Speaker: Dibyendu Biswas

Affiliation: IIT Bombay

Title: Diagonalizable groups