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Abstracts for Mathematische Arbeitstagung 2011

Alternatively have a look at the program.

Opening lecture: Noncommutative identities

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Speaker: 
Maxim Kontsevich
Zugehörigkeit: 
IHES
Datum: 
Fre, 2011-06-24 17:00 - 18:00

Location: Großer Hörsaal, Wegelerstr. 10, Universität Bonn

Exact critical values of a symmetric fourth $L$-function and Zagier's conjecture

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Speaker: 
Tomoyoshi Ibukiyama
Zugehörigkeit: 
Osaka University
Datum: 
Sam, 2011-06-25 10:15 - 11:15

Around 1977, Don Zagier conjectured exact critical values of the symmetric fourth $L$-function of the Ramanujan $\Delta$ function, expressing them by explicit rational numbers, power of $\pi$, and the inner product of $\Delta$, based on numerical calculations and Deligne's conjectures.
In this talk, we will give their explicit exact values (with proof), using Siegel modular forms, pullback formulas, and differential operators. This is a joint work with H. Katsurada.
We also talk shortly on some congruence and a theory of differential operators on Siegel modular forms.

Teichmüller curves

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Speaker: 
Martin Möller
Zugehörigkeit: 
Universität Frankfurt
Datum: 
Sam, 2011-06-25 12:00 - 13:00

Double shuffle for associators

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Speaker: 
Hidekazu Furusho
Zugehörigkeit: 
Nagoya University
Datum: 
Sam, 2011-06-25 17:00 - 18:00

Program discussion II

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Datum: 
Son, 2011-06-26 10:15 - 10:30

Hodge correlators for local systems

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Speaker: 
Alexander Goncharov
Zugehörigkeit: 
Brown University
Datum: 
Son, 2011-06-26 10:30 - 11:30

Bounding eigenfunctions on arithmetic surfaces

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Speaker: 
Valentin Blomer
Zugehörigkeit: 
Universität Göttingen
Datum: 
Son, 2011-06-26 12:00 - 13:00

Quantum knot invariants

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Speaker: 
Stavros Garoufalidis
Zugehörigkeit: 
Georgia Institute of Technology
Datum: 
Son, 2011-06-26 17:00 - 18:00

Talk on the boat: Don Zagier's work on singular moduli

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Speaker: 
Benedict Gross
Zugehörigkeit: 
Harvard
Datum: 
Mon, 2011-06-27 10:00 - 11:00

Singular moduli are the values of the modular function $j(\tau)$ at the points $z$ in the upper half plane that satisfy a quadratic equation with rational coefficients. In other words, they are the $j$-invariants of elliptic curves with complex multiplication.
 

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