ICTP Mathematics Seminar on Tuesday 3 December

[math]

M A T H E M A T I C S   S E M I N A R S   2013


Tuesday, 3 December, at 14:00 hrs


Le Quy Thuong  (University of Sciences, VNU, Hanoi).

"Some problems on motivic Milnor fiber"


Abstract:

Developed by Denef-Loeser more than one decade ago, motivic Milnor fiber 
was a power tool to study singularities from the point of view of 
motivic integration. Especially, the impressive appearance of 
Kontsevich-Soibelman's theory of motivic Donaldson-Thomas invariants 
around 2008 two of whose foundations are the conjectural integral 
identity and the motivic Thom-Sebastiani theorem once again proves the 
importance of motivic Milnor fiber in different fields of mathematics. 
Recently, after works of Hrushovski-Loeser, one can describe motivic 
Milnor fiber in a more model-theoretical way. I used this new 
description to prove the integral identity conjecture for algebraically 
closed fields. More recently, during my visit at the ICTP in October 
2013, using the same method, I was able to recover the motivic 
Thom-Sebastiani theorem. We shall introduce how to prove these results 
in the talk. Some comments on open problems concerning motivic Milnor 
fiber will be also given.


VENUE: L. Stasi Seminar Room, First floor, ICTP Leonardo Building