[Liste-CICMA] Séminaires CICMA pour la semaine (Québec Vermont + Analytic Number Theory)

Guillermo Martinez-Zalce martinez at crm.umontreal.ca
Tue Oct 28 10:54:15 EDT 2014


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SÉMINAIRE QUÉBEC-VERMONT NUMBER THEORY

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DATE :
Le jeudi 30 octobre 2014 / Thursday, October 30, 2014

HEURE / TIME :
10 h 30 - 12 h / 10:30 a.m. - 12:00 p.m.

CONFERENCIER(S) / SPEAKER(S) :
Siddarth Sankaran (Universität Bonn)

TITRE / TITLE :
The Siegel-Weil formula and special cycles on unitary Shimura varieties

LIEU / PLACE :
CRM, Université de Montréal, Pav. André Aisenstadt, 2920 chemin de la Tour, salle 6214

RESUME / ABSTRACT :
The Siegel-Weil formula, first discovered by Siegel in 1951, is a classical theorem that equates the integral of a theta function with a special value of an Eisenstein series. A beautiful series of papers by Kudla and Millson from the late 80's casts this theorem a geometric light, in terms of certain 'special cycles' on Hermitian symmetric domains and their quotients. Since then, evidence has emerged for a deeper arithmetic significance of this geometric interpretation: in many cases, there are deep and surprising connections between integral models of these cycles on the one hand, and derivatives of Eisenstein series on the other. 

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DATE :
Le jeudi 30 octobre 2014 / Thursday, October 30, 2014

HEURE / TIME :
14 h - 15 h 30 / 2:00 p.m. - 3:30 p.m.

CONFERENCIER(S) / SPEAKER(S) :
Antal Balog (Rényi Institute)

TITRE / TITLE :
Sum-product estimates for many variables

LIEU / PLACE :
CRM, Université de Montréal, Pav. André Aisenstadt, 2920 chemin de la Tour, salle 6214

RESUME / ABSTRACT :
For a finite set of real numbers A, let A+A and AA denote the sets of sums a+a' and aa' respectively, where a, a' are (not necessary different) elements of A. Several results of the following spirit are discussed. |AA+AA+AA+AA|>|A|^2 Some of our results are also extended to sets of complex numbers, but this extension is not at all obvious.


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Responsable(s) :
Henri Darmon (darmon at math.mcgill.ca)
Andrew Granville (andrew at dms.umontreal.ca)
Dimitris Koukoulopoulos (koukoulo at CRM.UMontreal.CA)
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http://www.dms.umontreal.ca/~qvnts/QVNTSinfo.html

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SÉMINAIRE ANALYTIC NUMBER THEORY

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DATE :
Le vendredi 31 octobre 2014 / Friday, October 31, 2014

HEURE / TIME :
14 h 30 - 16 h / 2:30 p.m. - 4:00 p.m.

CONFERENCIER(S) / SPEAKER(S) :
Robert Lemke Oliver (Stanford-Université de Montréal)

TITRE / TITLE :
TBD

LIEU / PLACE :
Université de Montréal, Pavillon André Aisenstadt, salle 4336

RESUME / ABSTRACT :



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Responsable(s) :
Sary Drappeau (sary.drappeau at gmail.com)
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http://www.dms.umontreal.ca/~qvnts/index.html


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