Mathematical Sciences Research Institute

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Derived Algebraic Geometry January 22, 2019 to May 24, 2019
Organizers Julie Bergner (University of Virginia), LEAD Bhargav Bhatt (University of Michigan), Dennis Gaitsgory (Harvard University), David Nadler (University of California, Berkeley), Nikita Rozenblyum (University of Chicago), Peter Scholze (Universität Bonn), Gabriele Vezzosi (Università di Firenze)

Derived algebraic geometry is an extension of algebraic geometry that provides a convenient framework for directly treating non-generic geometric situations (such as non-transverse intersections in intersection theory), in lieu of the more traditional perturbative approaches (such as the “moving” lemma). This direct approach, in addition to being conceptually satisfying, has the distinct advantage of preserving the symmetries of the situation, which makes it much more applicable. In particular, in recent years, such techniques have found applications in diverse areas of mathematics, ranging from arithmetic geometry, mathematical physics, geometric representation theory, and homotopy theory. This semester long program will be dedicated to exploring these directions further, and finding new connections.

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Programmatic Workshops
January 28, 2019 - January 30, 2019 Connections for Women: Derived Algebraic Geometry, Birational Geometry and Moduli Spaces
January 31, 2019 - February 08, 2019 Introductory Workshop: Derived Algebraic Geometry and Birational Geometry and Moduli Spaces
March 25, 2019 - March 29, 2019 Derived algebraic geometry and its applications