Proceedings of Symposia in Pure Mathematics最新文献

A Heegaard Floer analog of algebraic torsion 代数扭转的heegard flower类比

Proceedings of Symposia in Pure Mathematics Pub Date : 2019-06-27 DOI: 10.1090/PSPUM/102/10

Çağatay Kutluhan, G. Matić, Jeremy Van Horn-Morris, Andy Wand

引用次数: 1

Breadth in Contemporary Topology 当代拓扑学中的宽度

Proceedings of Symposia in Pure Mathematics Pub Date : 2019-06-27 DOI: 10.1090/pspum/102

Weiwei Wu

引用次数: 2

Representations of Reductive Groups 还原基的表示

Proceedings of Symposia in Pure Mathematics Pub Date : 2019-02-19 DOI: 10.1090/pspum/101

David Vogan

{"title":"Representations of Reductive Groups","authors":"David Vogan","doi":"10.1090/pspum/101","DOIUrl":"https://doi.org/10.1090/pspum/101","url":null,"abstract":"Complex representations of reductive groups over different fields. [Course 80759-I changed the topic] Sundays 11.30-13.15 This course consists of two parts. In the first we will study representations of reductive groups over local non-archimedian fields [ such as Q p and F q ((s))]. In this part I'll closely follow the notes of the course of J.Bernstein. Moreover I'll often copy big chanks from these notes. In the second the representations of reductive groups over 2-dimensional local fields [ such as Q p ((s))]. In the first part we explain the basics of a) induction from parabolic and parahoric subgroups, b) Jacquet functors, c) cuspidal representations d) the second adjointness and e) Affine Hecke algebras. In the second we discuss the generalization these concepts to the case of representations of reductive groups over 2-dimensional local fields. Prerequisites. The familiarity with the following subjects will be helpful. a) P-adic numbers, [see first few chapters of the book \" p-adic numbers , p-adic analysis, and zeta-functions \" by N.Koblitz or sections 4-5 in the book \" Number theory \" of Borevich and Shafarevich]. b) Basics of the theory of split reductive groups G [Bruhat decomposition , Weyl groups, parabolic and Levi subgroups] of reductive groups, [ One who does not know this this theory can restrict oneself to the case when G = GL(n) when Bruhat decomposition= Gauss decomposition.] c) Basics of the category theory: adjoint functors, Abelian categories. [ see the chapter 2 of book \" Methods of homological algebra \" 1","PeriodicalId":384712,"journal":{"name":"Proceedings of Symposia in Pure\n Mathematics","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127159595","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 13

Totally disconnected groups (not) acting on two-manifolds 作用于双流形的完全不相连的群(非)

Proceedings of Symposia in Pure Mathematics Pub Date : 2018-11-21 DOI: 10.1090/pspum/102/13

J. Pardon

引用次数: 2

Topological recursion and Givental’s formalism: Spectral curves for Gromov-Witten theories 拓扑递归与gigital的形式化:Gromov-Witten理论的谱曲线

Proceedings of Symposia in Pure Mathematics Pub Date : 2018-11-19 DOI: 10.1090/PSPUM/100/01773

P. Dunin-Barkowski

引用次数: 1

Graph sums in the remodeling conjecture 重构猜想中的图和

Proceedings of Symposia in Pure Mathematics Pub Date : 2018-11-19 DOI: 10.1090/pspum/100/01767

Bohan Fang, Zhengyu Zong

引用次数: 2

Topological Recursion and its Influence in Analysis, Geometry, and Topology 拓扑递归及其在分析、几何和拓扑中的影响

Proceedings of Symposia in Pure Mathematics Pub Date : 2018-11-19 DOI: 10.1090/pspum/100

Chiu-Chu Melissa Liu, M. Mulase

引用次数: 10

Bouchard-Klemm-Marino-Pasquetti conjecture for ℂ³ 算子的Bouchard-Klemm-Marino-Pasquetti猜想

Proceedings of Symposia in Pure Mathematics Pub Date : 2018-11-19 DOI: 10.1090/PSPUM/100/01771

Lin Chen

引用次数: 11

Towards the topological recursion for double Hurwitz numbers 关于双Hurwitz数的拓扑递归

Proceedings of Symposia in Pure Mathematics Pub Date : 2018-11-13 DOI: 10.1090/PSPUM/100/01761

N. Do, M. Karev

{"title":"Towards the topological recursion for double\u0000 Hurwitz numbers","authors":"N. Do, M. Karev","doi":"10.1090/PSPUM/100/01761","DOIUrl":"https://doi.org/10.1090/PSPUM/100/01761","url":null,"abstract":"Single Hurwitz numbers enumerate branched covers of the Riemann sphere with specified genus, prescribed ramification over infinity, and simple branching elsewhere. They exhibit a remarkably rich structure. In particular, they arise as intersection numbers on moduli spaces of curves and are governed by the topological recursion of Chekhov, Eynard and Orantin. Double Hurwitz numbers are defined analogously, but with prescribed ramification over both zero and infinity. Goulden, Jackson and Vakil have conjectured that double Hurwitz numbers also arise as intersection numbers on moduli spaces. \u0000In this paper, we repackage double Hurwitz numbers as enumerations of branched covers weighted by certain monomials and conjecture that they are governed by the topological recursion. Evidence is provided in the form of the associated quantum curve and low genus calculations. We furthermore reduce the conjecture to a weaker one, concerning a certain polynomial structure of double Hurwitz numbers. Via the topological recursion framework, our main conjecture should lead to a direct connection to enumerative geometry, thus shedding light on the aforementioned conjecture of Goulden, Jackson and Vakil.","PeriodicalId":384712,"journal":{"name":"Proceedings of Symposia in Pure\n Mathematics","volume":"354 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115931004","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 6

Donaldson theory in non-Kählerian geometry non-Kählerian几何中的唐纳森理论

Proceedings of Symposia in Pure Mathematics Pub Date : 2018-09-05 DOI: 10.1090/PSPUM/099/12

A. Teleman

引用次数: 8