Departement Mathematik

Number theory seminar

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Herbstsemester 2012

Datum / Zeit Referent:in Titel Ort
21. September 2012
14:15-15:15 		Dr. Andreas Maurischat
Universität Heidelberg
Details

Number Theory Seminar

Titel Differential Galois theory in positive characteristic
Referent:in, Affiliation Dr. Andreas Maurischat, Universität Heidelberg
Datum, Zeit 21. September 2012, 14:15-15:15
Ort HG G 43
Differential Galois theory in positive characteristic
HG G 43
28. September 2012
14:15-15:15
Details

Number Theory Seminar

Titel Title T.B.A.
Referent:in, Affiliation
Datum, Zeit 28. September 2012, 14:15-15:15
Ort HG G 43
Title T.B.A.
HG G 43
5. Oktober 2012
14:15-15:15 		Dr. Martin Raum
ETH Zurich, Switzerland
Details

Number Theory Seminar

Titel Questions on harmonic automorphic forms; and some answers
Referent:in, Affiliation Dr. Martin Raum, ETH Zurich, Switzerland
Datum, Zeit 5. Oktober 2012, 14:15-15:15
Ort HG G 43
Questions on harmonic automorphic forms; and some answers
HG G 43
12. Oktober 2012
14:15-15:15 		Prof. Dr. Bjorn Poonen
MIT, USA
Details

Number Theory Seminar

Titel Modeling the distribution of Selmer groups, Shafarevich-Tate groups, and ranks of elliptic curves
Referent:in, Affiliation Prof. Dr. Bjorn Poonen, MIT, USA
Datum, Zeit 12. Oktober 2012, 14:15-15:15
Ort HG G 43
Abstract Using only linear algebra over Z_p, we define a discrete probability distribution on the set of isomorphism classes of short exact sequences of Z_p-modules, and then conjecture that as E varies over elliptic curves over a fixed global field, the distribution of 0 --> E(k) tensor Q_p/Z_p --> Sel_{p^infty} E --> Sha[p^infty] --> 0 is that one. This one conjecture would have the following consequences: 1) Asymptotically, 50% of elliptic curves have rank 0 and 50% have rank 1. 2) Sha[p^infty] is finite for 100% of elliptic curves. 3) The Poonen-Rains conjecture on the distribution of Sel_p E holds. 4) Delaunay's conjecture a la Cohen-Lenstra on the distribution of Sha holds. (This is joint work with M. Bhargava, D. Kane, H. Lenstra, and E. Rains.)
Modeling the distribution of Selmer groups, Shafarevich-Tate groups, and ranks of elliptic curvesread_more
HG G 43
19. Oktober 2012
14:15-15:15 		Prof. Dr. Emmanuel Kowalski
ETH Zürich
Details

Number Theory Seminar

Titel Algebraic twists of modular forms and Hecke orbits
Referent:in, Affiliation Prof. Dr. Emmanuel Kowalski, ETH Zürich
Datum, Zeit 19. Oktober 2012, 14:15-15:15
Ort HG G 43
Abstract Abstract: (Joint work with E. Fouvry and Ph. Michel) We consider estimates for sums of Fourier coefficients of modular forms twisted by functions of "algebraic origin". Using the amplification method and the Riemann Hypothesis over finite fields, in particular the Deligne–Laumon theory of the Fourier transform, we obtain very general estimates for such sums. This also has applications to the equidistribution of similarly twisted Hecke orbits.
Algebraic twists of modular forms and Hecke orbitsread_more
HG G 43
26. Oktober 2012
14:15-15:15 		Dr. Bart de Smit
University of Leiden
Details

Number Theory Seminar

Titel On local Galois module structure for cyclic extensions of prime degree
Referent:in, Affiliation Dr. Bart de Smit, University of Leiden
Datum, Zeit 26. Oktober 2012, 14:15-15:15
Ort HG G 43
On local Galois module structure for cyclic extensions of prime degree
HG G 43
2. November 2012
14:15-15:15
Details

Number Theory Seminar

Titel Title T.B.A.
Referent:in, Affiliation
Datum, Zeit 2. November 2012, 14:15-15:15
Ort HG G 43
Title T.B.A.
HG G 43
9. November 2012
14:15-15:15 		Adebisi Agboola
UC Santa Barbara
Details

Number Theory Seminar

Titel On special values of p-adic L-functions
Referent:in, Affiliation Adebisi Agboola, UC Santa Barbara
Datum, Zeit 9. November 2012, 14:15-15:15
Ort HG G 43
Abstract I shall discuss the relationship between the arithmetic of a large class of special values of the Katz two-variable p-adic L-function and the stucture of certain non-standard Selmer groups. This can be used to obtain precise information about certain special values whose behaviour is not known to be governed by the arithmetic of an underlying algebraic cycle.
On special values of p-adic L-functionsread_more
HG G 43
16. November 2012
14:15-15:15 		Dr. Rodolphe Richard
EPFL
Details

Number Theory Seminar

Titel Distribution of Hecke orbits in the Berkovich modular curve
Referent:in, Affiliation Dr. Rodolphe Richard, EPFL
Datum, Zeit 16. November 2012, 14:15-15:15
Ort HG G 43
Distribution of Hecke orbits in the Berkovich modular curve
HG G 43
23. November 2012
14:15-15:15 		Prof. Dr. Annette Werner
Universität Frankfurt
Details

Number Theory Seminar

Titel Buildings and non-archimedean flag varieties
Referent:in, Affiliation Prof. Dr. Annette Werner, Universität Frankfurt
Datum, Zeit 23. November 2012, 14:15-15:15
Ort HG G 43
Abstract We will explain joint work with Bertrand Rémy and Amaury Thuillier showing that Bruhat-Tits buildings can be embedded in Berkovich analytic group varieties and in many cases also in flag varieties. We explain the relation to Drinfeld's upper half spaces in the special case that the flag variety is projective space.
Buildings and non-archimedean flag varietiesread_more
HG G 43
30. November 2012
14:15-15:15 		Paul Ziegler
ETH Zürich
Details

Number Theory Seminar

Titel Mordell-Lang in positive characteristic
Referent:in, Affiliation Paul Ziegler, ETH Zürich
Datum, Zeit 30. November 2012, 14:15-15:15
Ort HG G 43
Mordell-Lang in positive characteristic
HG G 43
7. Dezember 2012
14:15-15:15 		Brad Rodgers
UCLA
Details

Number Theory Seminar

Titel Statistics of the zeros of the zeta function: mesoscopic and macroscopic phenomena
Referent:in, Affiliation Brad Rodgers, UCLA
Datum, Zeit 7. Dezember 2012, 14:15-15:15
Ort HG G 43
Abstract We review the well known microscopic correspondence between random zeros of the Riemann zeta-function and the eigenvalues of a random unitary or Hermitian matrix, and discuss evidence that this correspondence extends to larger mesoscopic collections of zeros or eigenvalues. In addition, we discuss interesting phenomena that appears in the statistics of even larger macroscopic collections of zeros. The terms microscopic, mesoscopic, and macroscopic are from random matrix theory and will be defined in the talk. This talk is based in part on results in the papers arXiv: 1203.3275 math.NT, and arXiv: 1205.0303 math.PR.
Statistics of the zeros of the zeta function: mesoscopic and macroscopic phenomenaread_more
HG G 43
14. Dezember 2012
14:15-15:15 		Michael Rapoport
Universität Bonn
Details

Number Theory Seminar

Titel On the Drinfeld p-adic halfplane
Referent:in, Affiliation Michael Rapoport, Universität Bonn
Datum, Zeit 14. Dezember 2012, 14:15-15:15
Ort HG G 43
On the Drinfeld p-adic halfplane
HG G 43
21. Dezember 2012
14:15-15:15
Details

Number Theory Seminar

Titel No seminar.
Referent:in, Affiliation
Datum, Zeit 21. Dezember 2012, 14:15-15:15
Ort HG G 43
No seminar.
HG G 43

Organisatoren:innen: Özlem Imamoglu, Emmanuel Kowalski, Richard Pink, Gisbert Wüstholz

Archiv: FS 24 HS 23 FS 23 HS 22 FS 22 HS 21 FS 21 HS 20 FS 20 HS 19 FS 19 HS 18 FS 18 HS 17 FS 17 HS 16 FS 16 HS 15 FS 15 HS 14 FS 14 HS 13 FS 13 HS 12 FS 12 HS 11 FS 11 HS 10 FS 10 HS 09

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