Lecture series on Hodge Theory

Wednesday and Thursday

6 and 7 September, 11:30 am – 1.00 pm

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Venue: Ramanujan Hall

Host: Sudarshan Gurjar

Speaker: V. Srinivas
Affiliation: IIT Bombay

Title: Introduction to Hodge Theory

Abstract: These are part of an ongoing series of lectures on the basics of Hodge theory. The next two lectures will finish the proof of the de Rham theorem, via sheaf cohomology, and if time permits, a beginning will be made on some linear algebra needed for the Hodge theory, as in Chapter 1 of Huybrechts' book.

Topology and Related Topics Seminar

Thursday, 7  Sept 2023, 2:30 pm

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Venue: Room 215

Host: Rekha Santhanam

Speaker: Soumyadeb Samanta 

Affiliation: IIT Bombay

Title:  Some topological aspects of Riemannian geometry 

Abstract: In this talk, I plan to prove the Cartan-Hadamard theorem which talks about the universal cover of a complete Riemannian manifold with non-positive sectional curvature. We shall also see a proof of Myer's theorem about the fundamental group of a complete Riemannian manifold with positive sectional curvature.