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Spring Semester 2026

Date / Time Speaker Title Location
27 February 2026
14:15-15:15 		Prof. Dr. Laurent Berger
ENS de Lyon
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Number Theory Seminar

Title Integer-valued polynomials and p-adic Fourier theory
Speaker, Affiliation Prof. Dr. Laurent Berger, ENS de Lyon
Date, Time 27 February 2026, 14:15-15:15
Location HG G 43
Abstract Let K be a finite extension of Qp and let o_K be its ring of integers. The theory of Lubin-Tate formal groups allows us to construct many integer-valued polynomials on o_K. To what extent do these polynomials generate all integer-valued polynomials on o_K? I will explain some results of de Shalit and Iceland, as well as of Ardakov, Sprang and myself on this question. I will also explain the motivation (p-adic Fourier theory) for our results.
Integer-valued polynomials and p-adic Fourier theoryread_more
HG G 43
13 March 2026
14:15-15:15 		Dr. Weixiao Lu
Institut de Mathématique de Marseille
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Number Theory Seminar

Title Automorphic period and sum of L-values
Speaker, Affiliation Dr. Weixiao Lu, Institut de Mathématique de Marseille
Date, Time 13 March 2026, 14:15-15:15
Location HG G 43
Abstract The relative Langlands duality posed by Ben-Zvi-Sakellaridis-Venkatesh predicts that periods of automorphic form can sometimes equal to sum of several special values of automorphic L-functions rather than a single one. In this talk, I will present explicit evidence for this phenomenon. I will discuss families of automorphic periods on general linear groups and classical groups that are designed to detect specific types of Eisenstein series. These periods indeed evaluate to finite sums of L-values. This is joint work with Guodong Xi.
Automorphic period and sum of L-valuesread_more
HG G 43
20 March 2026
14:15-15:15 		Dr. Danylo Radchenko
IHES
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Number Theory Seminar

Title Multiple polylogarithms and the Steinberg module
Speaker, Affiliation Dr. Danylo Radchenko, IHES
Date, Time 20 March 2026, 14:15-15:15
Location HG G 43
Abstract I will talk about a surprising connection between the space of multiple polylogarithms on a d-dimensional algebraic torus, and the Steinberg representation of GL_d(Q). I will show how this leads to several new identities for multiple polylogarithms, implying, in paricular, that all polylogarithms can be expressed using polylogarithms of the form Li_{m,1,...,1}. The talk is based on a recent joint work with Steven Charlton and Daniil Rudenko.
Multiple polylogarithms and the Steinberg moduleread_more
HG G 43
27 March 2026
14:15-15:15 		Dr. Aleksander Horawa
University of Bonn
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Number Theory Seminar

Title The arithmetic of Fourier coefficients of automorphic forms on G2
Speaker, Affiliation Dr. Aleksander Horawa, University of Bonn
Date, Time 27 March 2026, 14:15-15:15
Location HG G 43
Abstract In 1973, Shimura discovered a way to associate a holomorphic half-integral weight modular form h with a classical cusp form f. Subsequently, in the 1980s, Waldspurger proved a remarkable formula relating squares of the Fourier coefficients of h and quadratic twists of L-values of f. In the spirit of these results, we prove that one can associate "quaternionic" modular forms on the group G2 with dihedral cusp forms f, whose Fourier coefficients are explicitly related to cubic twists of L-values of f. This gives the first examples where a conjecture of Gross from 2000 has been fully verified. (Joint work with Petar Bakić, Siyan Daniel Li-Huerta, and Naomi Sweeting.)
The arithmetic of Fourier coefficients of automorphic forms on G2read_more
HG G 43
17 April 2026
14:15-15:15 		Beat Zurbuchen
ETH Zurich, Switzerland
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Number Theory Seminar

Title Equidistribution and cohomological vanishing theorems
Speaker, Affiliation Beat Zurbuchen, ETH Zurich, Switzerland
Date, Time 17 April 2026, 14:15-15:15
Location HG G 43
Abstract The equidistribution of Frobenius conjugacy classes acting on Galois representations is a corner stone of number theory going back to at least Dirichlets theorem on primes in arithmetic progressions. The goal of this talk is to give an introduction into such equidistribution theorems and to present recent equidistribution theorems for Tannakian monodromy groups. I will also discuss the cohomological vanishing theorems, which are a crucial input for the equidistribution theorems, in this talk.
Equidistribution and cohomological vanishing theoremsread_more
HG G 43
24 April 2026
14:15-15:15 		Dr. Rustam Steingart
Universität Heidelberg
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Number Theory Seminar

Title Iwasawa cohomology for general p-adic Lie extensions via vector bundles on the Fargues--Fontaine curve
Speaker, Affiliation Dr. Rustam Steingart, Universität Heidelberg
Date, Time 24 April 2026, 14:15-15:15
Location HG G 43
Abstract I will report on joint work in progress with Joaquín Rodrigues Jacinto and Gautier Ponsinet concerning Iwasawa cohomology of vector bundles on the Fargues--Fontaine curve along a (deeply ramified) p-adic Lie extension $K_\infty/K$. By working with derived analytic vectors we obtain a reinterpretation of classical results for bundles of slope 0 for any p-adic Lie extension. For general slopes we obtain a reinterpretation in terms of the (dual of the) \psi=1 Eigenspace of $(\varphi,\Gamma)$-modules in the case that $K_\infty/K$ is the cyclotomic extension. For general $p$-adic Lie extensions the latter is badly behaved while the former can still be defined and is expected to be well-behaved. I will focus on the Lubin--Tate case in which we can prove this expectation. If time permits I will mention some partial results for SL_2 and difficulties in the general case.
Iwasawa cohomology for general p-adic Lie extensions via vector bundles on the Fargues--Fontaine curveread_more
HG G 43
8 May 2026
14:15-15:15
Details

Number Theory Seminar

Title Title TBA: Dimitri Wyss
Speaker, Affiliation
Date, Time 8 May 2026, 14:15-15:15
Location
Title TBA: Dimitri Wyss
22 May 2026
Details

Number Theory Seminar

Title Arithmetica Transalpina
Speaker, Affiliation
Date, Time 22 May 2026,
Location Vienna
Arithmetica Transalpina
Vienna
29 May 2026
14:15-15:15 		Prof. Dr. Vladimir Dokchitser
UCL
Details

Number Theory Seminar

Title Title TBA: Vladimir Dokchitser
Speaker, Affiliation Prof. Dr. Vladimir Dokchitser, UCL
Date, Time 29 May 2026, 14:15-15:15
Location HG G 43
Title TBA: Vladimir Dokchitser
HG G 43

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