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Abstracts for Discoverers avant le PhD (DISCO)

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On the Bombieri-Pila Method Over Function Fields

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Speaker: 
Alisa Sedunova
Zugehörigkeit: 
U Göttingen
Datum: 
Mit, 09/12/2015 - 14:00 - 14:50
Location: 
MPIM Lecture Hall
Parent event: 
Discoverers avant le PhD (DISCO)

In 1989 E. Bombieri and J. Pila proved that if G is a subset of an
irreducible algebraic curve of degree d inside a square of side N , then
the number of lattice points on G is bounded
 by c(d, epsilon)N^{1/d +epsilon} for any epsilon > 0, where the
constant c(d, epsilon) does not depend on G.
We will establish a function field analogue of this result.

Operator Algebras and Unbounded Self-adjoint Operators

Posted in
Speaker: 
Christian Budde
Zugehörigkeit: 
Vrije Universiteit Brussel
Datum: 
Mit, 09/12/2015 - 15:00 - 15:50
Location: 
MPIM Lecture Hall
Parent event: 
Discoverers avant le PhD (DISCO)

Spectral theory and functional calculus for unbounded self-adjoint operators on
a Hilbert space are usually treated through von Neumann's Cayley transform.
Based on ideas of Woronowicz, we redevelop this theory from the point of view of
multiplier algebras and the so-called bounded transform (which establishes a
bijective correspondence between closed operators and pure contractions). This
also leads to a simple account of the affiliation relation between von Neumann
algebras and self-adjoint operators.

 

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