Du 13 au 17 juin 2022
IRMA Strasbourg
The aim of the summer school is to provide an introduction to recent advances in the understanding of the number-theoretic content of the cohomology of arithmetic groups and of algebraic K-groups of number rings. Uncovering this information reveals deep connections with algebraic geometry, namely with the theory of motives and with motivic homotopy theory. Surprisingly, this happens even when the arithmetic groups under consideration are not directly linked with algebraic varieties.
Organizers Jitendra Bajpai (MPIM Bonn) Mattia Cavicchi (IRMA Strasbourg)
Scientific committee Frédéric Déglise (ENS Lyon) Günter Harder (MPIM Bonn) Wiesława Nizioł (IMJ-PRG)
The mini-courses will cover the following topics:
- Neil Dummigan - "Approaches to Harder's conjecture on Eisenstein congruences"
- Clément Dupont - "Mixed Tate motives, Dedekind zeta values, and polylogarithms"
- Sophie Morel - "Weighted cohomology of Shimura varieties"
- Paul Arne Østvær - "Motives and Hermitian K-theory of number rings"
- Kartik Prasanna - "Motivic cohomology and cohomology of arithmetic groups"
The summer school will also feature talks from young researchers.
Registrations : see the official web site.
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Lundi 13 juin 2022
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09:00
Clément Dupont
Mixed Tate motives, Dedekind zeta values, and polylogarithms I - Dedekind zeta values, polylogarithms, and Zagier’s conjecture
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10:30
Sophie Morel
Weighted cohomology of Shimura varieties I
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11:30
Paul Arne Østvær
Motives and Hermitian K-theory of number rings I
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15:00
Neil Dummigan
Approaches to Harder's conjecture on Eisenstein congruences I
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16:30
Kartik Prasanna
Motivic cohomology and the cohomology of arithmetic groups I
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17:30
Alexandre Maksoud
On the non-vanishing of certain p-adic regulators
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17:50
Arshay Sheth
p-adic variation of the Asai–Flach Euler system
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Mardi 14 juin 2022
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09:00
Paul Arne Østvær
Motives and Hermitian K-theory of number rings II
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10:30
Kartik Prasanna
Motivic cohomology and the cohomology of arithmetic groups II
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11:30
Clément Dupont
Mixed Tate motives, Dedekind zeta values, and polylogarithms II - Cohomology and (mixed Tate) motives
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15:00
Sophie Morel
Weighted cohomology of Shimura varieties II
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16:30
Neil Dummigan
Approaches to Harder's conjecture on Eisenstein congruences II
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17:30
Fabio Tanania
On the motivic cohomology of the Nisnevich classifying space of PGL_n
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17:50
Quentin Gazda
Recent computations in function fields t-motivic cohomology
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18:10
Sergey Yakovenko
Isoshtukas over Z
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Mercredi 15 juin 2022
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09:00
Kartik Prasanna
Motivic cohomology and the cohomology of arithmetic groups III
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10:30
Sophie Morel
Weighted cohomology of Shimura varieties III
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11:30
Neil Dummigan
Approaches to Harder's conjecture on Eisenstein congruences III
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Jeudi 16 juin 2022
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09:00
Neil Dummigan
Approaches to Harder's conjecture on Eisenstein congruences IV
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10:30
Paul Arne Østvær
Motives and Hermitian K-theory of number rings III
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11:30
Kartik Prasanna
Motivic cohomology and the cohomology of arithmetic groups IV
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15:00
Clément Dupont
Mixed Tate motives, Dedekind zeta values, and polylogarithms III - The Tannakian formalism and motivic complexes
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16:30
Steven Charlton
Functional equations for Nielsen polylogarithms
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16:50
Adam Keilthy
Relations among block graded multiple zeta values
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17:10
Riccardo Pengo
Mahler measures and exactness: a periodic stroll
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17:30
Subham Bhakta
Logarithmic vector-valued automorphic forms: growth and lifting
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17:50
Ingmar Metzler
Theta lifts and cycle integrals
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18:10
Jiacheng Xia
Cohomology of Hermitian modular varieties and the unitary Kudla conjecture
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Vendredi 17 juin 2022
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09:00
Sophie Morel
Weighted cohomology of Shimura varieties IV
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10:30
Clément Dupont
Mixed Tate motives, Dedekind zeta values, and polylogarithms IV - Recent progress
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11:30
Paul Arne Østvær
Motives and Hermitian K-theory of number rings IV
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16:00
Dipendra Prasad
IRMA Colloquium - Branching laws for representations and for cohomology