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SUMMARY:The geometry of Hilbert scheme of points on manifolds
DTSTART:20231214T131500
DTEND:20231214T150000
DTSTAMP:20260916T225847Z
UID:6287e954c91cd526050d1ccc67c21b32eaaee945817bcfcb58f3e3c3
CATEGORIES:Conferences - Seminars
DESCRIPTION:Gergely Bérczi (Aarhus University)\nWhile the Hilbert scheme 
 of points on surfaces is extensively studied\, the Hilbert scheme of point
 s on higher-dimensional manifolds proves to be notoriously complex\, exhib
 iting wild and pathological properties. Our understanding of their topolog
 y and geometry is very limited.\n\nIn this survey I will present recent de
 velopments in various aspects of their geometry. I will discuss the distri
 bution of torus fixed points within the components of the Hilbert scheme (
 work with J. Svendsen)\, a new formula for tautological integrals over geo
 metric components (work with A. Szenes)\,  \nand p-adic integration on H
 ilbert schemes leading to new invariants of hypersurface singularities (wo
 rk with I. Rossinelli).
LOCATION:MA A1 12 https://plan.epfl.ch/?room==MA%20A1%2012
STATUS:CONFIRMED
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