MIT

Mon 19 Nov 2018, 4:00pm
Algebraic Geometry Seminar
Math 126

Motivic Hilbert zeta functions of curves

Math 126
Mon 19 Nov 2018, 4:00pm5:00pm
Abstract
The Grothendieck ring of varieties is the target of a rich invariant associated to any algebraic variety which witnesses the interplay between geometric, topological and arithmetic properties of the variety. The motivic Hilbert zeta function is the generating series for classes in this ring associated to a certain compactification of the unordered configuration space, the Hilbert scheme of points, of a variety. In this talk I will discuss the behavior of the motivic Hilbert zeta function of a reduced curve with arbitrary singularities. For planar singularities, there is a large body of work detailing beautiful connections with enumerative geometry, representation theory and topology. I will discuss some conjectural extensions of this picture to nonplanar curves.
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Missiouri

Mon 26 Nov 2018, 3:00pm
SPECIAL
Algebraic Geometry Seminar
Math 126

TBA

Math 126
Mon 26 Nov 2018, 3:00pm4:00pm
Abstract
TBA
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