Algebraic Analysis in honor of Masaki Kashiwara's 70th birthday

6 juin 2017, 09:00 → 9 juin 2017, 18:00 Europe/Paris

Salle de Conférences Marilyn et James Simons (Le Bois-Marie)

MASAKI KASHIWARA and ALGEBRAIC ANALYSIS

The story starts in the sixties, when Mikio Sato introduces hyperfunctions by algebraic methods with the dream to treat classical problems of analysis with the tools of algebraic geometry, homological algebra and sheaves, what he called "Algebraic Analysis".

Read more on Giuseppe Dito's web page

 

List of speakers:

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    Anton ALEKSEEV (Université de Genève)
    Philip BOALCH (Université Paris-Sud)
    Anna CADORET (Ecole Polytechnique)
    Giovanni FELDER (ETH Zürich)
    Julien GRIVAUX (Aix-Marseille Université, IHES)
    Stéphane GUILLERMOU (Université Grenoble Alpes)
    Mikhail KAPRANOV (IPMU, The University of Tokyo)
    Masaki KASHIWARA (RIMS, Kyoto University)
    Maxim KONTSEVICH (IHES)
    François LOESER (Université Paris 6)
    Takuro MOCHIZUKI (RIMS, Kyoto University)
    Motohico MULASE (UC Davis)
    Hiraku NAKAJIMA (RIMS, Kyoto University)
    Marco ROBALO (Université Paris 6)
    Raphaël ROUQUIER (UCLA)
    Takeshi SAITO (The University of Tokyo)
    David TREUMANN (Boston College)
    Michèle VERGNE (Université Paris 7)
    Gabriele VEZZOSI (Università di Firenze)
    Tony Yue YU (Université Paris-Sud)

Organising Committee:

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     Giuseppe Dito  (Université de Bourgogne)
     Maxim Kontsevich  (IHES)
     Pierre Schapira  (Université Paris 6)

 

Abstracts abstracts.pdf

Logos logo.jpg

Poster poster_kashiwara.pdf

Vidéo https://www.youtube.com/playlist?list=PLx5f8IelFRgEe8LACp8Pt3ijJb6PLIbgC

mardi 6 juin

09:15 → 18:30 Tuesday 6 June

09:15 Welcome coffee and reception of the participants

09:45 Opening

VIDEO https://youtu.be/pbrEaUQuP_0?list=PLx5f8IelFRgEe8LACp8Pt3ijJb6PLIbgC

10:00 Perverse schobers on surfaces via Ran categories

Orateur: Mikhail Kapranov

VIDEO https://youtu.be/Zw4tMV5fAFA?list=PLx5f8IelFRgEe8LACp8Pt3ijJb6PLIbgC

11:00 Coffee break

11:30 Nonabelian Hodge spaces and nonlinear representation theory

Orateur: Philip Boalch

VIDEO https://youtu.be/aeu1W8HvGO8?list=PLx5f8IelFRgEe8LACp8Pt3ijJb6PLIbgC

12:30 Lunch

14:00 Quantum Curves

Orateur: Motohico Mulase

VIDEO https://youtu.be/2adZofYKvAY?list=PLx5f8IelFRgEe8LACp8Pt3ijJb6PLIbgC

15:00 The Lie algebra attached to a tame closed embedding

Orateur: Julien Grivaux

VIDEO https://youtu.be/QsZ2y48PzDE?list=PLx5f8IelFRgEe8LACp8Pt3ijJb6PLIbgC

16:00 Coffee break

16:30 The graded equivariant Todd class and the equivariant index of transversally elliptic operators

Orateur: Michèle Vergne

VIDEO https://youtu.be/VCcppFxXgHA?list=PLx5f8IelFRgEe8LACp8Pt3ijJb6PLIbgC

17:30 Cocktail

mercredi 7 juin

09:30 → 17:30 Wednesday 7 June

09:30 Welcome coffee

10:00 The Kashiwara-Vergne theory and 2-dimensional topology

Orateur: Anton Alekseev

VIDEO https://youtu.be/k8V0lfPzJPE?list=PLx5f8IelFRgEe8LACp8Pt3ijJb6PLIbgC

11:00 Coffee break

11:30 Galois representations and invariants in arithmetic geometry

Orateur: Anna Cadoret

VIDEO https://youtu.be/nHFPrK1uT5k?list=PLx5f8IelFRgEe8LACp8Pt3ijJb6PLIbgC

12:30 Lunch

14:00 Mixed twistor D-modules and some examples

Orateur: Takuro Mochizuki

15:00 F-fields

Orateur: David Treumann

VIDEO https://youtu.be/hPIz7r95cdY?list=PLx5f8IelFRgEe8LACp8Pt3ijJb6PLIbgC

16:00 Coffee break

16:30 The Frobenius conjecture in dimension two

Orateur: Tony Yue Yu

VIDEO https://youtu.be/lr9VL4wfQGk?list=PLx5f8IelFRgEe8LACp8Pt3ijJb6PLIbgC

jeudi 8 juin

09:30 → 17:30 Thurday 8 June

09:30 Welcome coffee

10:00 Elliptic quantum groups and elliptic equivariant cohomology

Orateur: Giovanni Felder

VIDEO https://youtu.be/pYC986uuizI?list=PLx5f8IelFRgEe8LACp8Pt3ijJb6PLIbgC

11:00 Coffee break

11:30 Ring objects in the derived Satake category from Coulomb branches

Orateur: Hiraku Nakajima

VIDEO https://youtu.be/3wYoOpxVikM?list=PLx5f8IelFRgEe8LACp8Pt3ijJb6PLIbgC

12:30 Lunch

14:00 Riemann-Hilbert correspondence for q-difference modules

Orateur: Maxim Kontsevich

VIDEO https://youtu.be/hcV_qo9_RQ8?list=PLx5f8IelFRgEe8LACp8Pt3ijJb6PLIbgC

15:00 Microlocal sheaf theory and symplectic geometry

Orateur: Stéphane Guillermou

VIDEO https://youtu.be/8IxPd2ouwuA?list=PLx5f8IelFRgEe8LACp8Pt3ijJb6PLIbgC

16:00 Coffee break

16:30 Riemann-Hilbert correspondence and Laplace transform

Orateur: Masaki Kashiwara

VIDEO https://youtu.be/XDHjRRpdk8o?list=PLx5f8IelFRgEe8LACp8Pt3ijJb6PLIbgC

vendredi 9 juin

09:30 → 17:30 Friday 9 June

09:30 Welcome coffee

10:00 Geometric representation theory as representation-theoretic geometry

Orateur: Raphaël Rouquier

VIDEO https://youtu.be/keNo5G8bU6o?list=PLx5f8IelFRgEe8LACp8Pt3ijJb6PLIbgC

11:00 Coffee break

11:30 Motivic realisations of singularity categories and vanishing cycles

Orateur: Marco Robalo

VIDEO https://youtu.be/90-8XiAv85A?list=PLx5f8IelFRgEe8LACp8Pt3ijJb6PLIbgC

12:30 Lunch

14:00 Characteristic cycle of an \ell-adic sheaf

Orateur: Takeshi Saito

VIDEO https://youtu.be/CpLFVCSdUy0?list=PLx5f8IelFRgEe8LACp8Pt3ijJb6PLIbgC

15:00 Applications of non-commutative algebraic geometry to arithmetic geometry

Orateur: Gabriele Vezzosi

VIDEO https://youtu.be/JCu_-Hab-DA?list=PLx5f8IelFRgEe8LACp8Pt3ijJb6PLIbgC

16:00 Coffee break

16:30 Geometry on arc spaces

Orateur: François Loeser

VIDEO https://youtu.be/FIdHk74CjfQ