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Videos (3367)
01:04:50

published on October 15, 2023

Period Relations for Arithmetic Automorphic Periods on Unitary Groups

By Jie Lin

IHES

Given an automorphic representation of a unitary group, one can define an arithmetic automorphic period as the Petersson inner product of a deRham rational form. Here the deRham rational structure comes from the cohomology of Shimura varieties. When the form is holomorphic, the period can be ...

Appears in collection : A Conference in Arithmetic Algebraic Geometry in Memory of Jan Nekovář

Missing fields : ~~lie~~

01:01:50

published on November 25, 2022

Real structures on hyper-Kähler manifolds

By Lie Fu

CIRM

Great achievements have been made towards the study of realstructures on K3 surfaces. I will report on an attempt to generalize some of these results to higher dimensional analogs of K3 surfaces, namely, the so-called compact hyper-Kähler manifolds. The emphasis will be on finiteness properties ...

Appears in collection : Real Aspects of Geometry / Aspects réels de la géométrie

Missing fields : ~~algebraic~~

17:04

published on December 18, 2019

A numerical method for identifying transition paths of metastable diffusion processes

By Hang Cheng Lie

IHP

Appears in collection : 2019 - T3 - WS1 - Nonlinear and stochastic methods in climate and geophysical fluid dynamics

Missing fields : ~~algebraic~~

50:44

published on March 3, 2023

Graded Lie algebras and families of algebraic curves

By Beth Romano

CIRM

Graded Lie algebras give a uniform approach to many questions in arithmetic statistics. I'll give some background about graded Lie algebras and show how they arise in proofs about families of algebraic curves. For a certain class of graded Lie algebras, Thorne showed that we can construct families ...

Appears in collection : SAGA - Symposium on Arithmetic Geometry and its Applications

01:03:15

published on October 1, 2014

ℓ-adic cohomology of unfoldings of Laurent polynomials

By Lei Fu

IHES

K. Saito and M. Saito prove that the universal unfolding of an isolated singularity underlies a Frobenius manifold structure. Sabbah proves similar results for universal unfoldings of nondegenerate convenient Laurent polynomials. We study some $\ell$-adic aspects of their works. This is a work ...

Appears in collection : Journées de géométrie arithmétique de l'IHÉS

Missing fields : ~~lie~~ ~~algebraic~~

01:03:02

published on June 27, 2022

Sen theory for locally analytic representations

By Lue Pan

CIRM , IHES

Let $p$ be a prime number. The classical work of Sen attaches an operator (called the Sen operator) to every finite-dimensional continuous $p$-adic representation of the absolute Galois group of $Q_{p}$. We will present a generalization of this construction to locally analytic Galois ...

Appears in collection : Franco-Asian Summer School on Arithmetic Geometry in Luminy / Ecole d'été franco-asiatique sur la géométrie arithmétique à Luminy

Missing fields : ~~lie~~ ~~algebraic~~

01:03:16

published on June 20, 2022

Sen theory for locally analytic representations

By Lue Pan

IHES

Let p be a prime number. The classical work of Sen attaches an operator (called the Sen operator) to every finite-dimensional continuous p-adic representation of the absolute Galois group of Q_p. We will present a generalization of this construction to locally analytic Galois representations ...

Appears in collection : Franco-Asian Summer School on Arithmetic Geometry

Missing fields : ~~lie~~ ~~algebraic~~

01:01:35

published on January 28, 2019

2 Calabi-Yau categories and motivic Donaldson-Thomas series

By Jie Ren

IHES

The motivic Donaldson-Thomas invariants for 3 Calabi-Yau categories were introduced by Kontsevich and Soibelman. In this talk, I will give a brief introduction to the 2 Calabi-Yau case, mainly via motivic Hall algebras.

Appears in collection : Higher Structures in Holomorphic and Topological Field Theory

Missing fields : ~~lie~~ ~~algebraic~~
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