Moduli theory | Invariant theory

Moduli space

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).

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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

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Geometry of the moduli space of curves – Rahul Pandharipande – ICM2018

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From playlist Plenary Lectures

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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

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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

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A moduli space of polygons

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

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This video explains the definition of a vector space and provides examples of vector spaces.

From playlist Vector Spaces

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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

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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

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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

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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

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The Arnold conjecture via Symplectic Field Theory polyfolds -Ben Filippenko

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From playlist Mathematics

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Recursive combinatorial aspects of compactified moduli spaces – Lucia Caporaso – ICM2018

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From playlist Algebraic & Complex Geometry

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John Pardon: Virtual fundamental cycles and contact homology

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From playlist Jean-Morlet Chair - Lalonde/Teleman

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Moduli spaces of local G-shtukas – Eva Viehmann – ICM2018

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From playlist Lie Theory and Generalizations

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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

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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

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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

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