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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 22.10.2010 von Gerlinde Steinhoff
Geändert am 03.11.2010 von Gerlinde Steinhoff
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