Algebraic geometry seminar

Wednesday, 19th October, 10 am

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Venue: Ramanujan Hall

Host: Sudarshan Gurjar

Speaker: Sourav Das

Affiliation: Chennai Mathematical Institute

Title: Moduli problems on nodal curves

Abstract: In this talk, I will mainly discuss the moduli of Higgs 
bundles on nodal curves. First, I will talk about degenerations and 
briefly overview a few moduli problems on a nodal curve, e.g., Picard, 
moduli of vector bundles. Then, I will discuss a semi-stable 
degeneration of the moduli of Higgs bundles and the extension of 
Hitchin's symplectic form to this degeneration. If time permits, I will 
discuss a few possible applications of this study.

Lecture series on Hodge Theory

Thursday, 12 Oct.

11.30-1.00 and 3.30-4.30 pm

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Venue: Ramanujan Hall

Host: Sudarshan Gurjar

Speaker: V. Srinivas, IIT Bombay

Title: Kahler condition and its consequences
Abstract: We review the basics of spectral sequences, and then discuss 
the ``Hodge to de Rham'' spectral sequence.

Topology and Related Topics Seminar

Thursday, 19  October  2023, 2:30 pm

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Venue: Room 215

Host: Rekha Santhanam

Speaker: Shuchita Goyal

Affiliation: Krea University

Title: Grid graphs and their independence complexes

Abstract: A matching in a graph G is a collection of disjoint edges. The 
matching complex of a graph G is a simplicial complex whose simplices 
are matchings in G. Lately, grid graphs have been studied for their 
homological and homotopical structures. In this talk, we will focus on 
the grid graphs whose each block is a square. In particular, we will see 
that the matching complexes of 3n grid graphs are homotopy equivalent to 
a wedge of spheres. We will also see the comprehensive list of the 
dimensions of spheres appearing in the wedge.

Lecture series on Hodge Theory

Thursday, 12 Oct.

11.30-1.00 and 3.30-4.30 pm

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Venue: Ramanujan Hall

Host: Sudarshan Gurjar

Speaker: V. Srinivas, IIT Bombay

Title: Kahler condition and its consequences
Abstract: We review the basics of spectral sequences, and then discuss 
the ``Hodge to de Rham'' spectral sequence.

Analysis and PDE seminar

Thursday, 19th 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 third talk of the series. We will finish our 
discussion on Hausdorff-Young inequality,  and start on restrictions on 
the parabola in dimension 2 and the moment curve in higher dimensions.