比利时vs摩洛哥足彩
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university of california san diego
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math 292: topology seminar
peter haine
university of california, berkeley
new perspectives on the étale homotopy type
abstract:
Étale homotopy theory was invented by artin and mazur in the 1960s as a way to associate to a scheme x, a homotopy type with fundamental group the étale fundamental group of x and whose cohomology captures the étale cohomology of x with locally constant constructible coefficients. in this talk we'll explain how to construct a stratified refinement of the étale homotopy type that classifies constructible étale sheaves and gives rise to a new definition of the étale homotopy type. the stratified étale homotopy type also plays a role in the reconstruction of schemes: in nice cases, schemes can be completely reconstructed from their stratified étale homotopy types. this is joint work with clark barwick and saul glasman.
host: zhouli xu
october 18, 2022
4:30 pm
apm 7218
research areas
geometry and topology****************************