OSU Mathematics Seminars and Colloquia
Calendar
Tue, Feb 08, 2022
Colloquium
3:30 PM
Via Zoom
On the Gan-Gross-Prasad conjectures for general spin groups
Melissa Emory, University of Toronto
Host: Anthony Kable
[Abstract] [PDF]
Abstract: Restriction problems are one of the most natural problems regarding representations, present from the early days of representation theory. In general, the question is how a representation of a group decomposes when restricted to a subgroup. In the 1990s, Benedict Gross and Dipendra Prasad formulated an intriguing conjecture regarding the restriction of representations, also known as branching laws, of special orthogonal groups. Gan, Gross and Prasad extended this conjecture, now known as the Gan-Gross-Prasad (GGP) conjecture, to the remaining classical groups in 2012. In this talk, we will discuss the GGP conjectures and work to extend these conjectures to a non-classical group, the general spin group.
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