Moduli theory | Invariant theory
In mathematics, in particular algebraic geometry, a moduli space is a geometric space (usually a scheme or an algebraic stack) whose points represent algebro-geometric objects of some fixed kind, or isomorphism classes of such objects. Such spaces frequently arise as solutions to classification problems: If one can show that a collection of interesting objects (e.g., the smooth algebraic curves of a fixed genus) can be given the structure of a geometric space, then one can parametrize such objects by introducing coordinates on the resulting space. In this context, the term "modulus" is used synonymously with "parameter"; moduli spaces were first understood as spaces of parameters rather than as spaces of objects. A variant of moduli spaces is formal moduli. (Wikipedia).
Classification of obstructed bundles over a very general sextic surface and... by Sarbeswar Pal
DISCUSSION MEETING : MODULI OF BUNDLES AND RELATED STRUCTURES ORGANIZERS : Rukmini Dey and Pranav Pandit DATE : 10 February 2020 to 14 February 2020 VENUE : Ramanujan Lecture Hall, ICTS, Bangalore Background: At its core, much of mathematics is concerned with the problem of classif
From playlist Moduli Of Bundles And Related Structures 2020
Geometry of the moduli space of curves – Rahul Pandharipande – ICM2018
Plenary Lecture 3 Geometry of the moduli space of curves Rahul Pandharipande Abstract: The moduli space of curves, first appearing in the work of Riemann in the 19th century, plays an important role in geometry. After an introduction to the moduli space, I will discuss recent directions
From playlist Plenary Lectures
Beyond geometric invariant theory 2: Good moduli spaces, and applications by Daniel Halpern-Leistner
DISCUSSION MEETING: MODULI OF BUNDLES AND RELATED STRUCTURES ORGANIZERS : Rukmini Dey and Pranav Pandit DATE: 10 February 2020 to 14 February 2020 VENUE: Ramanujan Lecture Hall, ICTS, Bangalore Background: At its core, much of mathematics is concerned with the problem of classifying
From playlist Moduli Of Bundles And Related Structures 2020
The Hodge conjecture for moduli spaces of stable sheaves over a nodal curve by Inder Kaur
DISCUSSION MEETING: MODULI OF BUNDLES AND RELATED STRUCTURES ORGANIZERS : Rukmini Dey and Pranav Pandit DATE: 10 February 2020 to 14 February 2020 VENUE: Ramanujan Lecture Hall, ICTS, Bangalore Background: At its core, much of mathematics is concerned with the problem of classifying
From playlist Moduli Of Bundles And Related Structures 2020
Polygons in three dimensions might seem simple, but their geometry connects many areas of math and has surprising applications to chemistry and signal processing. In this video, I give a brief introduction to the moduli space of polygons in Euclidean space. This is a submission for the Sum
From playlist Summer of Math Exposition 2 videos
This video explains the definition of a vector space and provides examples of vector spaces.
From playlist Vector Spaces
Parahoric torsors, parabolic bundles and applications by Vikraman Balaji
DISCUSSION MEETING : MODULI OF BUNDLES AND RELATED STRUCTURES ORGANIZERS : Rukmini Dey and Pranav Pandit DATE : 10 February 2020 to 14 February 2020 VENUE : Ramanujan Lecture Hall, ICTS, Bangalore Background: At its core, much of mathematics is concerned with the problem of classif
From playlist Moduli Of Bundles And Related Structures 2020
Michele Bolognesi: Mapping classes of trigonal loci
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebraic and Complex Geometry
Non commutative K3 surfaces, with application to Hyperkäler and... (Lecture 2) by Emanuele Macrì
DISCUSSION MEETING: MODULI OF BUNDLES AND RELATED STRUCTURES ORGANIZERS : Rukmini Dey and Pranav Pandit DATE: 10 February 2020 to 14 February 2020 VENUE: Ramanujan Lecture Hall, ICTS, Bangalore Background: At its core, much of mathematics is concerned with the problem of classifying
From playlist Moduli Of Bundles And Related Structures 2020
Ruadhai Dervan: Moduli of algebraic varieties
Abstract: One of the central problems in algebraic geometry is to form a reasonable (e.g. Hausdorff) moduli space of smooth polarised varieties. I will show how one can solve this problem using canonical Kähler metrics. This is joint work with Philipp Naumann. Recording during the meeting
From playlist Algebraic and Complex Geometry
The Arnold conjecture via Symplectic Field Theory polyfolds -Ben Filippenko
Symplectic Dynamics/Geometry Seminar Topic: The Arnold conjecture via Symplectic Field Theory polyfolds Speaker: Ben Filippenko Affiliation: University of California, Berkeley Date: April 1, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Recursive combinatorial aspects of compactified moduli spaces – Lucia Caporaso – ICM2018
Algebraic and Complex Geometry Invited Lecture 4.3 Recursive combinatorial aspects of compactified moduli spaces Lucia Caporaso Abstract: In recent years an interesting connection has been established between some moduli spaces of algebro-geometric objects (e.g. algebraic stable curves)
From playlist Algebraic & Complex Geometry
John Pardon: Virtual fundamental cycles and contact homology
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Jean-Morlet Chair - Lalonde/Teleman
Moduli spaces of local G-shtukas – Eva Viehmann – ICM2018
Lie Theory and Generalizations Invited Lecture 7.6 Moduli spaces of local G-shtukas Eva Viehmann Abstract: We give an overview of the theory of local G-shtukas and their moduli spaces that were introduced in joint work of U. Hartl and the author, and in the past years studied by many peo
From playlist Lie Theory and Generalizations
Transversality and super-rigidity in Gromov-Witten Theory by Chris Wendl
J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru
From playlist J-Holomorphic Curves and Gromov-Witten Invariants
Sveta Makarova. Good moduli spaces for Artin stacks
Seminar talk on CORONA GS: https://murmuno.mit.edu/coronags Abstract: The talk is based on Alper's paper "Good moduli spaces for Artin stacks". I will briefly remind definitions of moduli problems and stacks and then proceed to explaining Alper's results. After that, I will focus on givin
From playlist CORONA GS
Higgs bundles and higher Teichmüller components (Lecture 2) by Oscar García-Prada
DISCUSSION MEETING : MODULI OF BUNDLES AND RELATED STRUCTURES ORGANIZERS : Rukmini Dey and Pranav Pandit DATE : 10 February 2020 to 14 February 2020 VENUE : Ramanujan Lecture Hall, ICTS, Bangalore Background: At its core, much of mathematics is concerned with the problem of classif
From playlist Moduli Of Bundles And Related Structures 2020