Departement Mathematik

Number theory seminar

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Frühjahrssemester 2011

Datum / Zeit Referent:in Titel Ort
25. Februar 2011
14:15-15:15 		Dr. Harald Helfgott
ENS Paris / Bristol
Details

Number Theory Seminar

Titel Three-term arithmetic progressions in the primes
Referent:in, Affiliation Dr. Harald Helfgott, ENS Paris / Bristol
Datum, Zeit 25. Februar 2011, 14:15-15:15
Ort HG G 43
Three-term arithmetic progressions in the primes
HG G 43
11. März 2011
14:15-15:15 		Jacob Tsimerman
Princeton University
Details

Number Theory Seminar

Titel Constructing Abelian Varieties over the Algebraic Closure of the Rationals Not Isogenous to a Jacobian
Referent:in, Affiliation Jacob Tsimerman, Princeton University
Datum, Zeit 11. März 2011, 14:15-15:15
Ort HG G 43
Abstract We discuss the following question of Nick Katz and Frans Oort: Given an Algebraically closed field $K$, is there an Abelian variety over $K$ of dimension $g$ which is not isogenous to a Jacobian? For $K$ the complex numbers, it is easy to see that the answer is "yes" for $g>3$ using measure theory, but over a countable field like $\bar{\mathbf{Q}}$, new methods are required. Building on work of Chai-Oort, we show that, as expected, such Abelian varieties exist for $K=\bar{\mathbf{Q}}$ and $g>3$ . We will explain the proof as well as its connection to the Andr\'e-Oort conjecture.
Constructing Abelian Varieties over the Algebraic Closure of the Rationals Not Isogenous to a Jacobianread_more
HG G 43
18. März 2011
14:15-15:15 		Prof. Dr. Andrej Dujella
University of Zagreb
Details

Number Theory Seminar

Titel High rank elliptic curves and applications
Referent:in, Affiliation Prof. Dr. Andrej Dujella, University of Zagreb
Datum, Zeit 18. März 2011, 14:15-15:15
Ort HG G 43
High rank elliptic curves and applications
HG G 43
25. März 2011
14:15-15:15 		Prof. Dr. Bruno Klingler
Université Paris 7
Details

Number Theory Seminar

Titel On rigidity for complex hyperbolic lattices
Referent:in, Affiliation Prof. Dr. Bruno Klingler, Université Paris 7
Datum, Zeit 25. März 2011, 14:15-15:15
Ort HG G 43
Abstract I will explain how rigidity problems for complex hyperbolic lattices (i.e. discrete subgroups with finite covolume of an Hermitian group U(n,1)) lead to interesting questions in Hodge theory and automorphic forms, and provide an answer for some of them.
On rigidity for complex hyperbolic latticesread_more
HG G 43
8. April 2011
14:15-15:15 		Prof. Dr. Nicolas Bergeron
Université Pierre et Marie Curie
Details

Number Theory Seminar

Titel Special cycles and cohomology of certain arithmetic manifolds
Referent:in, Affiliation Prof. Dr. Nicolas Bergeron, Université Pierre et Marie Curie
Datum, Zeit 8. April 2011, 14:15-15:15
Ort HG G 43
Abstract In a joint work with John Millson and Colette Moeglin we show that special cycles generate a large part of the cohomology of locally symmetric spaces associated to orthogonal groups. We prove in particular that classes of totally geodesic submanifolds generate the cohomology groups of degree n of compact congruence p-dimensional hyperbolic manifolds "of simple type" as long as n is strictly smaller than (p-2)/4. We also prove that for connected Shimura varieties associated to O(p,2) the Hodge conjecture is true for classes of degree <(p-1)/4. I will explain the strategy of the proof.
Special cycles and cohomology of certain arithmetic manifoldsread_more
HG G 43
15. April 2011
14:15-15:15 		Prof. Dr. Yuri Bilu
Université Bordeaux I
Details

Number Theory Seminar

Titel Rational points on modular curves
Referent:in, Affiliation Prof. Dr. Yuri Bilu, Université Bordeaux I
Datum, Zeit 15. April 2011, 14:15-15:15
Ort HG G 43
Rational points on modular curves
HG G 43
6. Mai 2011
Details

Number Theory Seminar

Titel ETH Number Theory Days 2011
Referent:in, Affiliation
Datum, Zeit 6. Mai 2011,
Ort EPF Lausanne
ETH Number Theory Days 2011
EPF Lausanne
7. Mai 2011
Details

Number Theory Seminar

Titel ETH Number Theory Days 2011
Referent:in, Affiliation
Datum, Zeit 7. Mai 2011,
Ort EPF Lausanne
ETH Number Theory Days 2011
EPF Lausanne
27. Mai 2011
14:15-15:15 		Prof. Dr. Kunrui Yu
Hong Kong University of Science and Technology
Details

Number Theory Seminar

Titel p-adic Logarithmic Forms and a Problem of Erdös
Referent:in, Affiliation Prof. Dr. Kunrui Yu, Hong Kong University of Science and Technology
Datum, Zeit 27. Mai 2011, 14:15-15:15
Ort HG G 43
p-adic Logarithmic Forms and a Problem of Erdös
HG G 43

Organisatoren:innen: Clemens Fuchs, 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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