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Gerlinde Steinhoff

Oberseminar Geometrie, Topologie und Gruppentheorie: Amador Martin Pizarro: on intersection with Tori

Thursday, 04.11.2010 10:00 im Raum SR 1d

Mathematik und Informatik

Abstract: The conjecture of intersection with Tori (CIT), also known as Zilber-Pink´s conjecture, rougly states that for a closed subvariety of a torus there is a finite set of cosets of proper tori that would describe all possible atypical interesections with any coset of a torus. A weaker version of the conjecture can be proved by a clever use of Model Theory and a passage to differential geometry using Ax result on Schanuel´s conjecture for differential fields. In this talk, aimed to an audience with a very basic acquaintance with Model Theory, we will present this result as well as discuss possible generalizations to positive characteristic and implications.



Angelegt am Friday, 22.10.2010 08:48 von Gerlinde Steinhoff
Geändert am Wednesday, 03.11.2010 11:58 von Gerlinde Steinhoff
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