Harvard–MIT Algebraic Geometry Seminar: Higher Tsen Theorem


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March 14, 2023 3:00 pm - 4:00 pm
MIT, Room 2-132

Tomer Schlank - MIT

Tsen's Theorem gives a simple sufficient criterion for an algebraic variety to have a point over a complex function field. In the talk we shall discuss a way to define on the collection of such points a structure of a stack and show that this stack is homologically contractible. We shall explain a variant of this phenomenon that can be employed for the study of Beilinson-Drinfeld Opers for reductive groups. This is joint work with D. Beraldo and D. Kazhdan.