Sem 2 2023/24: Reading Seminar: Intersection Homology

Time and Place: Friday 10-12 in second floor auditorium

Description

In this seminar we will learn about intersection homology and perverse sheaves following the book by Kirwan and Woolf (see References).

Schedule

Date	Speaker	Topic
12.01	Suresh Nayak	Overview
19.01	Prognadipto Majumder	Review I: Sheaves, homology and cohomology
	Eeshan Pandey	Review II: Derived category of sheaves and functors
02.02	Soumya Dasgupta	Pseudomanifolds and intersection homology
09.02	Trishan Mondal	First properties of intersection homology
16.02	Aaratrick Basu	L2-cohomology and intersection cohomology
24.02 ⓘ (Time:14-16)	Jishnu Biswas	Sheaf-theoretic intersection homology
19.01	Trishan Mondal	Review of Lefschetz theorems
	Jishnu Biswas	Topological invariance of Intersection Homology
08.03	Animesh Renanse	Perverse sheaves: Examples and Properties
15.03	Raushan Toor Nair	Nearby and Vanishing cycles
22.03	Kannappan Sampath	Introduction to Weil Conjectures
05.04	Kannapppan Sampath	Weil Conjectures (contd.)
12.04	Kannapppan Sampath	Weil Conjectures (contd.)

References

• F. Kirwan, J. Woolf, An introduction to intersection homology theory, CRC Press, 2006
• L. G. Maxim, Intersection Homology & Perverse Sheaves, Springer International Publishing, 2019
• M. Goresky, R. MacPherson, Stratified Morse theory, Springer, 1988
• M. Banagl, Topological invariants of stratified spaces, Springer Science & Business Media, 2007
• A. Dimca, Sheaves in topology, Springer Science & Business Media, 2004
• A. Borel, Intersection cohomology, Springer Science & Business Media, 2009
• G. Friedman, Singular intersection homology, Vol. 33, Cambridge University Press, 2020
• P. Achar, Perverse sheaves and applications to representation theory, Vol. 258, American Mathematical Soc., 2021
• V. Pati, Notes on intersection homology
• B. Sury, Hecke algebras, Intersection cohomology of Schubert varieties and Representation Theory, 1984