Department of Mathematics Calendar

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The Department of Mathematics is a bustling place full of new ideas. We host several events that occur throughout the year, including seminars, colloquium, conferences, and social events. Our seminars and colloquium are open to the public: all students, faculty, or alumni who are interested are welcome to join us for exciting talks on the leading edge of mathematics research!

For information about adding events to this calendar, please see this user guide

Algebraic Geometry Seminar

Event Type
Department of Mathematics
347 Altgeld Hall
Nov 8, 2022   3:00 pm  
Nicolas Addington, University of Oregon
Sheldon Katz

Hermitian-Einstein connections on universal bundles

Abstract: For a smooth, compact moduli space of stable vector bundles on a K3 surface, we construct a Hermitian-Einstein connection on the universal bundle, which restricts to a H-E connection on its "wrong-way" slices.

Thus not only does the moduli space parametrize stable bundles on the K3 surface, but the K3 surface parametrizes stable bundles on the moduli space.  Ingredients include the Bismut-Freed-Quillen connection on a determinant line bundle, and a careful analysis of the curvature of a certain principal bundle coming from gauge theory.  This is joint work with Andrew Wray.

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