# Abstracts for Mathematische Arbeitstagung 2011

Alternatively have a look at the program.

## Opening and first program discussion

Posted in
Date:
Fri, 2011-06-24 15:30 - 16:15

## Opening lecture: Noncommutative identities

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Speaker:
Maxim Kontsevich
Affiliation:
IHES
Date:
Fri, 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
Affiliation:
Osaka University
Date:
Sat, 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
Affiliation:
Universität Frankfurt
Date:
Sat, 2011-06-25 12:00 - 13:00

## Double shuffle for associators

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Speaker:
Hidekazu Furusho
Affiliation:
Nagoya University
Date:
Sat, 2011-06-25 17:00 - 18:00

## Program discussion II

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Date:
Sun, 2011-06-26 10:15 - 10:30

## Hodge correlators for local systems

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Speaker:
Alexander Goncharov
Affiliation:
Brown University
Date:
Sun, 2011-06-26 10:30 - 11:30

## Bounding eigenfunctions on arithmetic surfaces

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Speaker:
Valentin Blomer
Affiliation:
Universität Göttingen
Date:
Sun, 2011-06-26 12:00 - 13:00

## Quantum knot invariants

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Speaker:
Stavros Garoufalidis
Affiliation:
Georgia Institute of Technology
Date:
Sun, 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
Affiliation:
Harvard
Date:
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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