Harvard–MIT Algebraic Geometry Seminar: Higher Tsen Theorem

SEMINARS, HARVARD-MIT ALGEBRAIC GEOMETRY

Speaker:

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.