Seminar Calendar
for events the day of Friday, October 22, 2010.

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Friday, October 22, 2010

Special Algebraic Geometry Seminar
3:00 pm   in 241 Altgeld,  Friday, October 22, 2010
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Submitted by nevins.
Vikram Mehta (TIFR)
The Weak Density of the Fundamental Group Scheme
Abstract: It is known that if X is a non-singular projective variety in char 0, which is simply connected, then any semistable bundle with zero Chern classes is trivial. We prove an analogue of this in char p, using Nori's fundamental group scheme, Langer's boundedness theorems and the work of Hrushovski on the Frobenius automorphism.

Model Theory and Descriptive Set Theory Seminar
4:00 pm   in 345 Altgeld Hall,  Friday, October 22, 2010
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Submitted by phierony.
Philipp Hieronymi (UIUC)
Expanding subfields of the real field by a closed and discrete set
Abstract: Let K be a real closed subfield of the field of real numbers. Let 2^Z be the cyclic multiplicative subgroup of K generated by 2, and 3^Z be the cyclic multiplicative subgroup of K generated by 3. I present a proof that the set of integers Z is definable in (K,2^Z,3^Z). This talk should be understandable in the sense that the only prerequisite is to know what a definable set is. However, it will involve quite a few computations.