Moduli stack of elliptic curves

The (Coarse) Moduli Space of (Complex) Elliptic Curves | The Geometry of SL(2,Z), Section 1.3

We discuss complex elliptic curves, and describe their moduli space. Richard Borcherd's videos: Riemann-Roch Introduction: https://www.youtube.com/watch?v=uRfbnJ2a-Bs&ab_channel=RichardE.BORCHERDS Genus 1 Curves: https://www.youtube.com/watch?v=NDy4J_noKi8&ab_channel=RichardE.BORCHERDS

From playlist The Geometry of SL(2,Z)

Further Graphs on the Complex Plane (2 of 3: Algebraically verifying Graphs concerning the Moduli)

More resources available at www.misterwootube.com

From playlist Complex Numbers

Instability and stratifications of moduli problems in algebraic geometry - Daniel Halpern-Leistner

Daniel Halpern-Leistner Member, School of Mathematics September 23, 2014 More videos on http://video.ias.edu

From playlist Mathematics

Algebraic curves, tropical geometry, and moduli - Sam Payne

Sam Payne Yale University February 11, 2015 Tropical geometry gives a new approach to understanding old questions about algebraic curves and their moduli spaces, synthesizing techniques that range from Berkovich spaces to elementary combinatorics. I will discuss an outline of this method,

From playlist Mathematics

Moduli of connections on curves: some examples by Frank Loray

20 March 2017 to 25 March 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru Complex analytic geometry is a very broad area of mathematics straddling differential geometry, algebraic geometry and analysis. Much of the interactions between mathematics and theoretical physics, especially

From playlist Complex Geometry

Rachel Pries - The geometry of p-torsion stratifications of the moduli space of curve

The geometry of p-torsion stratifications of the moduli space of curve

From playlist 28ème Journées Arithmétiques 2013

What is... an elliptic curve?

In this talk, we will define elliptic curves and, more importantly, we will try to motivate why they are central to modern number theory. Elliptic curves are ubiquitous not only in number theory, but also in algebraic geometry, complex analysis, cryptography, physics, and beyond. They were

From playlist An Introduction to the Arithmetic of Elliptic Curves

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

Charles Rezk: Elliptic cohomology and elliptic curves (Part 1)

The lecture was held within the framework of the Felix Klein Lectures at Hausdorff Center for Mathematics on the 1. June 2015

From playlist HIM Lectures 2015

Kac polynomials and Lie algebras associated to quivers and curves – Olivier Schiffmann – ICM2018

Lie Theory and Generalizations Invited Lecture 7.1 Kac polynomials and Lie algebras associated to quivers and curves Olivier Schiffmann Abstract: We provide an explicit formula for the following enumerative problem: how many (absolutely) indecomposable vector bundles of a given rank r an

From playlist Lie Theory and Generalizations

The congruence subgroup property for SL(2,Z) - William Yun Chen

Arithmetic Groups Topic: The congruence subgroup property for SL(2,Z) Speaker: William Yun Chen Affiliation: Member, School of Mathematics Date: November 10, 2021 Somehow, despite the title, SL(2,Z) is the poster child for arithmetic groups not satisfying the congruence subgroup property

From playlist Mathematics

Richard Thomas - The Katz-Klemm-Vafa formula

Richard THOMAS (Imperial College London, UK)

From playlist Algèbre, Géométrie et Physique : une conférence en l'honneur

Moduli Space of Curves by Chitrabhanu Chaudhuri

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

Joseph Silverman, Moduli problems and moduli spaces in algebraic dynamics

VaNTAGe seminar on June 23, 2020. License: CC-BY-NC-SA. Closed captions provided by Max Weinreich

From playlist Arithmetic dynamics

Charles Rezk: Elliptic cohomology and elliptic curves (Part 3)

The lecture was held within the framework of the Felix Klein Lectures at Hausdorff Center for Mathematics on the 8. June 2015

From playlist HIM Lectures 2015

Jordan Ellenberg, Counting points on (some) stacks: progress and problems

VaNTAGe seminar, April 6, 2021 License: CC-BY-NC-SA

From playlist Manin conjectures and rational points

Mazur's program B. - Zureick-Brown - Workshop 2 - CEB T2 2019

David Zureick-Brown (Emory University, Atlanta USA) / 25.06.2019 Mazur's program B. I’ll discuss recent progress on Mazur’s “Program B” – the problem of classifying all possibilities for the “image of Galois” for an elliptic curve over Q (equivalently, classification of all rational poi

From playlist 2019 - T2 - Reinventing rational points

Minimal Discriminants and Minimal Weiestrass Forms For Elliptic Curves

This goes over the basic invariants I'm going to need for Elliptic curves for Szpiro's Conjecture.

From playlist ABC Conjecture Introduction

The structure of instability in moduli theory - Daniel Halpern-Leistner

Daniel Halpern-Leistner Member, School of Mathematics October 21, 2014 In many examples of moduli stacks which come equipped with a notion of stable points, one tests stability by considering "iso-trivial one parameter degenerations" of a point in the stack. To such a degeneration one can

From playlist Mathematics

An algebro-geometric theory of vector-valued modular forms of half-integral weight - Luca Candelori

Luca Candelori Lousiana State University October 23, 2014 We give a geometric theory of vector-valued modular forms attached to Weil representations of rank 1 lattices. More specifically, we construct vector bundles over the moduli stack of elliptic curves, whose sections over the complex

From playlist Mathematics