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Ph.D. Defence Seminar
Monday, 17 April, 2023 at 11 am
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Venue: Ramanujan Hall
Host: Sandip Singh
Speaker: Shashank Vikram Singh
Affiliation: IIT Bombay
Title: Arithmeticity and Thinness of Some Hypergeometric Groups
Number Theory Seminar
Monday, 17/04/2023 at 4 pm
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Venue: Ramanujan Hall
Host: Sandip Singh
Speaker: C. S. Rajan
Affiliation: Ashoka University
Title: Classical Branching Laws
Abstract: We consider the classical branching laws; for example, that of understanding the decomposition of the highest weight representation of GL(n) to that of GL(n-1), or restriction from odd orthogonal to even orthogonal and symplectic branching laws. We outline an approach via the Weyl character formula. This is joint work with Sagar Srivastava.
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
CACAAG Seminar
Thursday, 20 April 2023, 4 pm
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Venue: Room 215
Host: Madhusudan Manjunath
Speaker: Saurav Bhaumik
Affiliation: IIT Bombay
Title: The Hard Lefschetz theorem - second talk
Abstract: We will state and prove the hard Lefschetz theorem.
Geometric Group Theory Learning Seminar
21 April 2023 at 11:30 AM
Host: Rekha Santhanam
Venue: Ramanujan Hall
Speaker: Radhika Gupta (TIFR)
Affiliation: TIFR, Mumbai
Title: “Growth of Groups.”