## Algebraic Geometry Seminar

Please see the following for more related talks:

**Upcoming Seminars:**
- Friday, March 29, 2019, 12:00pm, 119 Physics, Number Theory Seminar

*Chern classes of automorphic vector bundles*

Michael Harris (Columbia University)
- TBA

- Friday, March 29, 2019, 3:15pm, 119 Physics, Algebraic Geometry Seminar

*Lefschetz type theorems for algebraic cycles and vector bundles.*

Ravindra
- The Weak Lefschetz theorem (or the Lefschetz hyperplane theorem) states that for a smooth, projective variety Y and a smooth hyperplane section X in Y, the restriction map of cohomologies H^i(Y) to H^i(X) is an isomorphism for i < dim{X}, and an injection when i = dim{X}.
Analogues of this theorem have been conjectured for algebraic cycles. We will talk about some results in this area. We will also talk about such questions for vector bundles.

- Friday, April 5, 2019, 3:15pm, 119 Physics, Algebraic Geometry Seminar

*Brill-Noether Theorems for moduli spaces of sheaves on surfaces*

Izzet Coskun (U Illinois, Chicago)
- In this talk, I will discuss the problem of computing the cohomology of the general sheaf in a moduli space of sheaves on a surface. I will concentrate on the case of rational and K3 surfaces. The case of rational surfaces is joint work with Jack Huizenga and the case of K3 surfaces is joint work with Howard Nuer and Kota Yoshioka.

- Friday, April 12, 2019, 3:15pm, 119 Physics, Algebraic Geometry Seminar

*TBA*

Max Lieblich (University of Washington, Mathematics)
- Friday, April 19, 2019, 3:15pm, 119 Physics, Algebraic Geometry Seminar

*TBA*

Sebastian Casalaina-Martin (University of Colorado)
- TBA

- Friday, April 26, 2019, 3:15pm, 119 Physics, Algebraic Geometry Seminar

*Prym varieties of genus four curves*

Nils Bruin (Simon Fraser University)

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