Difference between revisions of "NTS Fall 2013/Abstracts"

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(September 5: add title and abstract for Guillermo's talk)
(October 10: add title/abstract for Petrenko's talk)
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| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Bogdan Petrenko''' (Eastern Illinois University)
 
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Bogdan Petrenko''' (Eastern Illinois University)
 
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| bgcolor="#BCD2EE"  align="center" | Title: tba
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| bgcolor="#BCD2EE"  align="center" | Title: Generating an algebra from the probabilistic standpoint
 
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| bgcolor="#BCD2EE"  |   
 
| bgcolor="#BCD2EE"  |   
Abstract: tba
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Abstract: Let ''A'' be a ring whose additive group is free Abelian of finite
 +
rank. The topic of this talk is the following question: what is the
 +
probability that several random elements of ''A'' generate it as a ring? After
 +
making this question precise, I will show that it has an interesting
 +
answer which can be interpreted as a local-global principle. Some
 +
applications will be discussed. This talk will be based on my joint work
 +
with Rostyslav Kravchenko (University of Chicago) and Marcin Mazur
 +
(Binghamton University).
  
 
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== October 17 ==
 
== October 17 ==
  

Revision as of 16:25, 26 August 2013

September 5

Guillermo Mantilla-Soler (EPFL)
Title: The spinor genus of the integral trace and local arithmetic equivalence

Abstract: In this talk I'll explain my recent results on the spinor genus of the integral trace form of a number field. I'll show how from them one can decide in terms of finitely many ramification invariants, and under some restrictions, whether or not a pair of number fields have isometric integral trace forms. Inspired by the work of R. Perlis on number fields with the same zeta function I'll define the notion of local arithmetic equivalence, and I'll show that under certain hypothesis this equivalence determines the local root numbers of the number field, and the isometry class of integral trace form.


September 12

Simon Marshall (Northwestern)
Title: Endoscopy and cohomology growth on U(3)

Abstract: I will use the endoscopic classification of automorphic forms on U(3) to determine the asymptotic cohomology growth of families of complex-hyperbolic 2-manifolds.


September 19

who? (where?)
Title: tba

Abstract: tba


September 26

who? (where?)
Title: tba

Abstract: tba


October 3

who? (where?)
Title: tba

Abstract: tba


October 10

Bogdan Petrenko (Eastern Illinois University)
Title: Generating an algebra from the probabilistic standpoint

Abstract: Let A be a ring whose additive group is free Abelian of finite rank. The topic of this talk is the following question: what is the probability that several random elements of A generate it as a ring? After making this question precise, I will show that it has an interesting answer which can be interpreted as a local-global principle. Some applications will be discussed. This talk will be based on my joint work with Rostyslav Kravchenko (University of Chicago) and Marcin Mazur (Binghamton University).


October 17

who? (where?)
Title: tba

Abstract: tba


October 24

Paul Garrett (Minnesota)
Title: tba

Abstract: tba


October 31

who? (where?)
Title: tba

Abstract: tba


November 7

who? (where?)
Title: tba

Abstract: tba


November 14

who? (where?)
Title: tba

Abstract: tba


November 21

who? (where?)
Title: tba

Abstract: tba


December 5

who? (where?)
Title: tba

Abstract: tba


December 12

who? (where?)
Title: tba

Abstract: tba


Organizer contact information

Robert Harron

Sean Rostami


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