Permutations | Algebraic curves | Moduli theory | Theorems in algebraic geometry

ELSV formula

In mathematics, the ELSV formula, named after its four authors , , , , is an equality between a Hurwitz number (counting ramified coverings of the sphere) and an integral over the moduli space of stable curves. Several fundamental results in the intersection theory of moduli spaces of curves can be deduced from the ELSV formula, including the Witten conjecture, the Virasoro constraints, and the -conjecture. It is generalized by the . (Wikipedia).

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Dimitri Zvonkine - On two ELSV formulas

The ELSV formula (discovered by Ekedahl, Lando, Shapiro and Vainshtein) is an equality between two numbers. The first one is a Hurwitz number that can be defined as the number of factorizations of a given permutation into transpositions. The second is the integral of a characteristic class

From playlist 4th Itzykson Colloquium - Moduli Spaces and Quantum Curves

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Rahul Pandharipande - Enumerative Geometry of Curves, Maps, and Sheaves 2/5

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From playlist 2021 IHES Summer School - Enumerative Geometry, Physics and Representation Theory

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Petr Zograf - Enumeration of Grothendieck's dessins and KP hierarchy

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From playlist ­­­­Physique mathématique des nombres de Hurwitz pour débutants

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Dimitri Zvonkine - Hurwitz numbers, the ELSV formula, and the topological recursion

We will use the example of Hurwitz numbers to make an introduction into the intersection theory of moduli spaces of curves and into the subject of topological recursion.

From playlist ­­­­Physique mathématique des nombres de Hurwitz pour débutants

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Bertrand Eynard - The topological recursion method

The topological recursion (TR) is a recursive algorithm, which associates to a plane complex curve (here called a “spectral curve”) S, an infinite family of symmetric meromorphic differential n-forms Wg,n(S), called the “invariants” of the curve S. For example on a plane curve given by its

From playlist 4th Itzykson Colloquium - Moduli Spaces and Quantum Curves

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Finding the sum or an arithmetic series using summation notation

👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is

From playlist Series

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Intersection Theory on Moduli Space of Curves and their connection.... by Chitrabhanu Chaudhuri

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From playlist Integrable​ ​systems​ ​in​ ​Mathematics,​ ​Condensed​ ​Matter​ ​and​ ​Statistical​ ​Physics

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Danilo Lewanski : Orbifold Hurwitz numbers, topological recursion and ELSV-type formulae

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From playlist Combinatorics

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What is the sum of an arithmetic series using the sum formula

👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is

From playlist Series

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Learn to use summation notation for an arithmetic series to find the sum

👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is

From playlist Series

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Using sigma sum notation to evaluate the partial sum

👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is

From playlist Series

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Evaluating the partial sum of a arithmetic series

👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is

From playlist Series

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Given two terms find the sum of your arithmetic series

👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is

From playlist Series

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Learn how to find the sum of an arithmetic series

👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is

From playlist Series

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Math tutorial for determining the sum of an arithmetic series

👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is

From playlist Series

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Finding the sum of a series arithmetic

👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is

From playlist Series

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Excel Basics 12: Complete Formula Lesson of Formula Types & Formula Elements 12 Examples

Highline College Busn 216 Class: Computer Applications taught by Michael Girvin. Download Excel Start & Finished File: https://people.highline.edu/mgirvin/YouTubeExcelIsFun/EB12-FormulaElements.xlsm Download Full Written Notes: https://people.highline.edu/mgirvin/YouTubeExcelIsFun/Office20

From playlist Excel Formulas - Basics and Beyond

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Highline Excel 2016 Class 02: Excel Fundamentals: Comprehensive Formula Lesson (15 Examples)

Download Files: https://people.highline.edu/mgirvin/AllClasses/218_2016/218Excel2016.htm In this video learn about: 1. (00:13) Introduction 2. (10:09) Excel’s Golden Rule 3. (04:31) Look at list of Formula Types and Formula Elements 4. (06:29) Number Formula Examples 5. (08:24) Text and Nu

From playlist Excel Advanced Free Course at YouTube. Comprehensive Excel 2016: Calculations & Data Analysis (27 Videos)

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Excel Statistical Analysis 03: Comprehensive Worksheet Formula & Model Building Video

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From playlist Excel Statistical Analysis for Business Class Playlist of Videos from excelisfun

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what is sigma notation and how to we use it

👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is

From playlist Series

Related pages

Monodromy | Riemann sphere | Lambda g conjecture | Algebraic stack | Intersection theory | Moduli space | Chern class | Point at infinity | Virasoro conjecture | Branch point | Hodge bundle | Moduli of algebraic curves | Stable curve | Witten conjecture