Algebraic Geometry Seminar Fall 2011

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The seminar meets on Fridays at 2:25 pm in Van Vleck B215.

The schedule for the previous semester is here.

Fall 2011

date speaker title host(s)
Sep. 23 Yifeng Liu (Columbia)

"Arithmetic inner product formula

Tonghai Yang
Oct. 7 Zhiwei Yun (MIT) Cohomology of Hilbert schemes of singular curves
Oct. 14 Javier Fernández de Bobadilla (Instituto de Ciencias Matematicas, Madrid) Nash problem for surfaces
Nov. 25 Shamgar Gurevich (Madison) Canonical Hilbert Space: Why? How? and its Categorification

Spring 2012

date speaker title host(s)
May 4 Mark Andrea de Cataldo (Stony Brook) TBA Maxim


Yifeng Liu


Zhiwei Yun

Cohomology of Hilbert schemes of singular curves

Abstract: For a smooth curve, the Hilbert schemes are just symmetric powers of the curve, and their cohomology is easily computed by the H^1 of the curve. This is known as Macdonald's formula. In joint work with Davesh Maulik, we generalize this formula to curves with planar singularities (which was conjectured by L.Migliorini). In the singular case, the compactified Jacobian will play an important role in the formula, and we make use of Ngo's technique in his celebrated proof of the fundamental lemma.