Weyl Groups and Real Toric Varieties

Abstract: Weyl groups can be understood by studying the real toric varieties associated with them. In this talk, we discuss the rational cohomology of these varieties. We present complete computations of their Betti numbers for all types of Weyl groups. Furthermore, for types A and B, we introduce explicit descriptions of the multiplicative structures of the cohomology rings in terms of alternating permutations and B-snakes, respectively.

mathematical physicsalgebraic topologycombinatoricsgeometric topologyrings and algebrasrepresentation theory

Audience: researchers in the topic

Knots, graphs and groups

Series comments: Zoom - Meeting ID: 818 6674 5751 Passcode: 141592

Link: us02web.zoom.us/j/81866745751?pwd=bEFqUUlZM1hVV0tvN0xWdXRsV2pnQT09

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