Freitag, 16. Mrz 2018, 15:15 - 16:30 iCal
Erwin Schrödinger Lecture by Ngô Bào Châu
University of Chicago
Weierstrass preparation theorem and singularities in arc spaces
Boltzmann Lecture Hall, Erwin Schrödinger Institute for Mathematics and Physics
Boltzmanngasse 9, 1090 Wien
Lecture
Arc spaces have drawn considerable attention with the rise of the theory of motivic integration. In representation theory and harmonic analysis of/on groups defined over nonarchimedean local fields, arc spaces, and their singularities, also play a prominent role. The problem of understanding singularities of arc spaces becomes thus important both in motivic integration and geometric representation theory.
After earlier work of Grinberg and Kazhdan, Drinfeld gave a very convenient description of the formal completion of arc spaces with the help of a version of theWeierstrass preparation theorem with coefficients in Artin local rings. To go beyond the formal completion, we need a version of Weierstrass preparation theorem with arbitrary coefficients. I will describe the problems that arise in extending the Weiertrass preparation theorem to arbitrary coefficient rings and applications to understanding local structures of arc spaces.
Ngô Bào Châu was born in Hanoi in 1972. He trained at École normale supérieure Paris and received his PhD at Orsay under the supervision of Gérard Laumon in 1997. In 2010, Professor Ngô was awarded a Fields Medal for “... his proof of the Fundamental Lemma in the theory of automorphic forms through the introduction of new algebro-geometric methods”. He has been a professor at the University of Chicago since 2010.
The Erwin Schrödinger Lectures are directed towards a general audience of mathematicians and physicists. In particular it is an intention of theses lectures to inform non-specalists and graduate students about recent developments and results in some area of mathematics or physics.
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Veranstalter
Erwin Schrödinger Institute for Mathematics and Physics
Kontakt
Beatrix Anna Maria Wolf
Erwin Schrödinger Institute for Mathematics and Physics, University of Vienna
01 4277-28301
secr@esi.ac.at
Erstellt am Montag, 26. Februar 2018, 15:13
Letzte Änderung am Dienstag, 27. Februar 2018, 11:25