Domains of holomorphy and Dolbeault cohomology
Domains of holomorphy can be characterized by vanishing of Dolbeault cohomology. We prove one direction of this characterization. For more detais see Gunning's "Introduction to holomorphic functions of several variables, Vol 1", Section G. Please point out any imprecisions in the comments
From playlist Several Complex Variables
Takeshi Tsuji - Prismatic cohomology and A_inf-cohomology with coefficients
Similarly to crystalline cohomology theory, we give a local description of a prismatic crystal and its cohomology in terms of a q-Higgs module and its q-Dolbeault complex on a bounded prismatic envelope when the base prism is defined over the prism $Z_p[[q-1]]$. As an application, we obtai
From playlist Franco-Asian Summer School on Arithmetic Geometry (CIRM)
Philippe ELBAZ - Cohomology of arithmetic groups and number theory: geometric, ... 3
In this lecture series, the first part will be dedicated to cohomology of arithmetic groups of lower ranks (e.g., Bianchi groups), their associated geometric models (mainly from hyperbolic geometry) and connexion to number theory. The second part will deal with higher rank groups, mainly
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Philippe ELBAZ - Cohomology of arithmetic groups and number theory: geometric, ... 4
In this lecture series, the first part will be dedicated to cohomology of arithmetic groups of lower ranks (e.g., Bianchi groups), their associated geometric models (mainly from hyperbolic geometry) and connexion to number theory. The second part will deal with higher rank groups, mainly
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Philippe ELBAZ - Cohomology of arithmetic groups and number theory: geometric, ... 2
In this lecture series, the first part will be dedicated to cohomology of arithmetic groups of lower ranks (e.g., Bianchi groups), their associated geometric models (mainly from hyperbolic geometry) and connexion to number theory. The second part will deal with higher rank groups, mainly
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Moduli of local systems: the Dolbeault approach (Lecture 3) by Carlos Simpson
INFOSYS-ICTS RAMANUJAN LECTURES EXPLORING MODULI SPEAKER: Carlos Simpson (Université Nice-Sophia Antipolis, France) DATE: 10 February 2020 to 14 February 2020 VENUE: Madhava Lecture Hall, ICTS Campus Lecture 1: Exploring Moduli: basic constructions and examples 4 PM, 10 February 2020
From playlist Infosys-ICTS Ramanujan Lectures
Marianne B. C.: Hypocoercivity & diffusion limit of a finite volume scheme for linear kinetic eq.
The lecture was held within the of the Hausdorff Trimester Program: Kinetic Theory Abstract: In this talk, I will present some recent results obtained in collaboration with Maxime Herda (INRIA Lille) and Thomas Rey (Univ. Lille). We are interested in the asymptotic analysis of a finite vo
From playlist HIM Lectures: Junior Trimester Program "Kinetic Theory"
Aurel PAGE - Cohomology of arithmetic groups and number theory: geometric, ... 1
In this lecture series, the first part will be dedicated to cohomology of arithmetic groups of lower ranks (e.g., Bianchi groups), their associated geometric models (mainly from hyperbolic geometry) and connexion to number theory. The second part will deal with higher rank groups, mainly
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Franc Forstnerič - Non singular holomorphic foliations on Stein manifolds (Part 4)
Non singular holomorphic foliations on Stein manifolds (Part 4)
From playlist École d’été 2012 - Feuilletages, Courbes pseudoholomorphes, Applications
Jean Dolbeault: Large time asymptotics for evolution equations with mean field couplings
CIRM VIRTUAL EVENT Recorded during the meeting "Kinetic Equations: from Modeling, Computation to Analysis" the March 25, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide m
From playlist Virtual Conference
Frédéric Hérau: A Korn Wirtinger inequality
The lecture was held within the of the Hausdorff Junior Trimester Program: Kinetic Theory Abstract: In kinetic theory or in other fields, some control of the gradient by the symmetric gradient of the macroscopic velocity of a system of particle may be necessary, since only the second qua
From playlist HIM Lectures: Junior Trimester Program "Kinetic Theory"
The Completed Cohomology of Arithmetic Groups - Frank Calegari
Frank Calegari Northwestern University; Member, School of Mathematics October 13, 2010 The cohomology of arithmetic groups (with real coefficients) is usually understood in terms of automorphic forms. Such methods, however, fail (at least naively) to capture information about torsion clas
From playlist Mathematics
Cohomological Field Theories from GLSMs (Lecture 2) by David Favero
PROGRAM: VORTEX MODULI ORGANIZERS: Nuno Romão (University of Augsburg, Germany) and Sushmita Venugopalan (IMSc, India) DATE & TIME: 06 February 2023 to 17 February 2023 VENUE: Ramanujan Lecture Hall, ICTS Bengaluru For a long time, the vortex equations and their associated self-dual fie
From playlist Vortex Moduli - 2023
Cohomological decomposition of the diagonal in small dimension (Lecture - 05) by Claire Voisin
Infosys-ICTS Ramanujan Lectures Some new results on rationality Speaker: Claire Voisin (College de France) Date: 01 October 2018, 16:00 Venue: Madhava Lecture Hall, ICTS campus Resources Lecture 1: Some new results on rationality Date & Time: Monday, 1 October 2018, 04:00 PM Abstra
From playlist Infosys-ICTS Ramanujan Lectures
Franc Forstnerič - Non singular holomorphic foliations on Stein manifolds (Part 2)
Non singular holomorphic foliations on Stein manifolds (Part 2)
From playlist École d’été 2012 - Feuilletages, Courbes pseudoholomorphes, Applications
Franc Forstnerič - Non singular holomorphic foliations on Stein manifolds (Part 1)
Non singular holomorphic foliations on Stein manifolds (Part 1)
From playlist École d’été 2012 - Feuilletages, Courbes pseudoholomorphes, Applications
Paul GUNNELLS - Cohomology of arithmetic groups and number theory: geometric, ... 5
In this lecture series, the first part will be dedicated to cohomology of arithmetic groups of lower ranks (e.g., Bianchi groups), their associated geometric models (mainly from hyperbolic geometry) and connexion to number theory. The second part will deal with higher rank groups, mainly
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
The Spectral Diameter of a Liouville Domains and its Applications - Pierre-Alexandre Mailhot
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: The Spectral Diameter of a Liouville Domains and its Applications Speaker: Pierre-Alexandre Mailhot Affiliation: Université de Montréal Date: October 28, 2022 The spectral norm provides a lower bound to the
From playlist Mathematics
Paul GUNNELLS - Cohomology of arithmetic groups and number theory: geometric, ... 2
In this lecture series, the first part will be dedicated to cohomology of arithmetic groups of lower ranks (e.g., Bianchi groups), their associated geometric models (mainly from hyperbolic geometry) and connexion to number theory. The second part will deal with higher rank groups, mainly
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory