


Lecture series on Hodge Theory
Thursday, 12 Oct. 11.301.00
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Venue: Ramanujan Hall
Host: Sudarshan Gurjar
Title: Kahler condition and its consequences
Abstract: These are part of an ongoing series of lectures on the basics of Hodge theory. We will discuss the Kahler condition, and its consequences (Kahler identities, etc.).
Topology and Related Topics Seminar
Thursday, 12 October 2023, 2:30 pm
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Venue: 215
Host: Rekha Santhanam
Speaker: Omkar Javadekar
Affiliation: IIT Bombay
Title: A review of derived category and related topics
Abstract: In this talk, we will see the construction of localization of a category with respect to an arbitrary class of morphisms, and define the derived category using localization. We will sketch the proof of the fact that the homotopy and derived categories are triangulated. Along the way, we will also try to revise the example of projective model structure on the category Ch(R) of chain complexes of modules over a ring R. We will then define the notion of support for objects of the derived category D(R), and end by stating the theorem of HopkinsNeeman for small Rcomplexes.
Commutative Algebra Seminar
Thursday, 12 Oct. 3.305.00 pm
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Venue: Room 215
Host: Tony Puthenpurakal
Speaker: J. K. Verma, IIT Bombay
Title: Introduction to local cohomology
Abstract: I will discuss various ways of computing local cohomology modules and describe their basic properties needed for the proof of GrothendieckSerre formula for the Hilbert function of a graded module over a graded algebra.
Analysis Seminar
Thursday, 12th Oct, 5:15 pm  6:15 pm
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Venue : Ramanujan Hall
Host : Chandan Biswas
Speaker : Chandan Biswas, IIT Bombay
Title: A basic introduction to Fourier restriction estimates
Abstract: This is the second talk of the series. We will finish our discussion on HausdorffYoung inequality.