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Lecture series on Hodge Theory
Wednesday and Thursday
30 and 31 August, 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
Thursday, 31 August 2023, 2.30 pm
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Venue: Room 215
Host: Rekha Santhanam
Speaker: Soumyadeb Samanta
Affiliation: IIT Bombay
Title: An Introduction to Riemannian Manifolds (contd.)
Abstract: This talk will be in continuation with the previous one. I plan to cover the following: geodesics, curvature, Jacobi fields, and variation formulas.