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Monday, October 15, 2018
4:00 PM - 5:00 PM
Linde Hall 387

Algebra and Geometry Seminar

Singular Schubert Varieties and Representation Theoretic Consequences
Peter McNamara, School of Mathematics and Statistics, University of Melbourne,
It has been known for many years now that representation theoretic information is encoded in the geometry of Schubert varieties (e.g. the Kazhdan-Lusztig conjectures). In this talk, we are interested in representation theory over a field of positive characteristic, and how the presence or absence of torsion in intersection cohomology affects this representation theory. I will talk about some examples of this phenomenon, as well as how to construct new examples which show how bad the geometry can be (constructing non-perverse parity sheaves).
For more information, please contact Mathematics Dept. by phone at 626-395-4335 or by email at mathinfo@caltech.edu.