Permutations | Algebraic curves | Moduli theory | Theorems in algebraic geometry
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).
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
Rahul Pandharipande - Enumerative Geometry of Curves, Maps, and Sheaves 2/5
The main topics will be the intersection theory of tautological classes on moduli space of curves, the enumeration of stable maps via Gromov-Witten theory, and the enumeration of sheaves via Donaldson-Thomas theory. I will cover a mix of classical and modern results. My goal will be, by th
From playlist 2021 IHES Summer School - Enumerative Geometry, Physics and Representation Theory
Petr Zograf - Enumeration of Grothendieck's dessins and KP hierarchy
Branched covers of the complex projective line ramified over 0,1 and infinity (Grothendieck's dessins d'enfant) of fixed genus and degree are effectively enumerated. More precisely, branched covers of a given ramification profile over infinity and given numbers of preimages
From playlist Physique mathématique des nombres de Hurwitz pour débutants
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
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
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
Intersection Theory on Moduli Space of Curves and their connection.... by Chitrabhanu Chaudhuri
Program : Integrable systems in Mathematics, Condensed Matter and Statistical Physics ORGANIZERS : Alexander Abanov, Rukmini Dey, Fabian Essler, Manas Kulkarni, Joel Moore, Vishal Vasan and Paul Wiegmann DATE & TIME : 16 July 2018 to 10 August 2018 VENUE : Ramanujan L
From playlist Integrable systems in Mathematics, Condensed Matter and Statistical Physics
Danilo Lewanski : Orbifold Hurwitz numbers, topological recursion and ELSV-type formulae
Recording during the thematic meeting : "Pre-School on Combinatorics and Interactions" the January 13, 2017 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent
From playlist Combinatorics
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
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
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
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
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
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
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
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
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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
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)
Excel Statistical Analysis 03: Comprehensive Worksheet Formula & Model Building Video
Download Excel File: https://excelisfun.net/files/Ch01-ESA.xlsm Learn the fundamentals of Excel worksheet formulas, functions and how to build worksheet models. Topics: (00:00) Introduction (00:19) Topics in video (00:45) Worksheet Formula Elements: what can go into a formula (01:57) Excel
From playlist Excel Statistical Analysis for Business Class Playlist of Videos from excelisfun
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