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Graduate Students Geometry and Analysis Seminar

Event Type
Seminar/Symposium
Sponsor
Department of Mathematics
Location
Henry Admin Building 143
Date
Sep 29, 2023   2:00 pm  
Speaker
Nikolay Sheshko
Contact
Hanna Kim
E-Mail
nekim2@illinois.edu
Views
1
Originating Calendar
Graduate Student Seminars in Mathematics
Title: Symplectic toric orbibundles and orbifold coverings


Abstract: In the world of manifolds Delzant correspondence provides a beautiful interplay between toric symplectic manifolds and certain class of polytopes. E. Lerman and S. Tolman extended this correspondence to orbifolds. Even though orbifolds have very simple singularities, weird things start to occur. In constrast to toric manifolds, which are simply connected, toric orbifolds have non-trivial coverings. Orbibundles also become more obscure, since now one fiber can non-trivially cover another. In my talk I will try to guide you through this madness by looking at how all this works for weighted projective spaces and their moment polytopes.Title: Symplectic toric orbibundles and orbifold coveringsTitle: Symplectic toric orbibundles and orbifold coverings

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