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Dynamics on Riemann surfaces and the geometry of moduli space Curtis T McMullen Harvard University HΓ→ Mg →B!SL2R ΩMg Avila, Hubert, Lanneau, Kontsevich, Masur,Yoccoz,…

Jost-Compact_Riemann_surfaces.pdf2.1 The Concept of a Riemann Surface Definition 2.1.1 A two-dimensional manifold is called a surface. Definition 2.1.2 An atlas on a surface

Closed magnetic geodesics on Riemann surfacesMatthias Schneider April 8. 2011, Sevilla The problem Given I an oriented (compact) surface (M, g) with a Riemannian metric g

The Bergman Kernel on Riemann SurfacesChiung-ju Liu (Joint work with Zhiqin Lu) National Taiwan University December 6, 2013 Outline Introduction Partial Results Introduction

Annals of Mathematics, 165 (2007), 843–941 The stable moduli space of Riemann surfaces: Mumford’s conjecture By Ib Madsen and Michael Weiss* Abstract D. Mumford conjectured…

Introduction to Riemann Surfaces — Lecture 4 John Armstrong KCL 26 November 2012 Overview of Course 1. Definition and examples of Riemann Surfaces 2. Understand statement:…

Overview on n−gonal automorphism of Riemann surfaces Mariela Carvacho Bustamante September 26 2017 Universidad Técnica Federico Santa Maŕıa marielacarvacho@usmcl González-Diez…

Riemann Surfaces JWR Wednesday December 12 2001 8:36 AM 1 The Classifying Map A reference for the material in this section is 3 11 Let V be a vector space over C We denote…

Elliptic Functions Riemann surfaces of algebraic functions. 1 §4.1 Riemann surface of algebtaic functions. Hitherto: elliptic integrals and elliptic functions mainly over…

The Riemann-Hurwitz Formula Frans Oort∗ Abstract Let ϕ : S → T be a surjective holomorphic map between compact Riemann surfaces. There is a formula relating the various…

Part II — Riemann Surfaces — Year 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 96 Paper 3 Section II 23F Riemann Surfaces Let Λ be a lattice…

Golden Ratio on Surfaces Ji-Young Ham and Joongul Lee Riemann surfaces and Teichmuller theory, Euler International Mathematical Institute, St. Petersburg, Russia July 8-12,…

The Riemann-Hurwitz Formula Frans Oort∗ Abstract Let ϕ : S → T be a surjective holomorphic map between compact Riemann surfaces There is a formula relating the various…

Dynamics on Riemann surfaces and the geometry of moduli space Curtis T McMullen Harvard University HΓ→ Mg →B!SL2R ΩMg Avila, Hubert, Lanneau, Kontsevich, Masur,Yoccoz,…

Riemann Surfaces JWR Wednesday December 12 2001 8:36 AM 1 The Classifying Map A reference for the material in this section is 3 11 Let V be a vector space over C We denote…

Zeros of the Selberg zeta function for non-compact surfaces Abstract In the present paper we provide a rigorous mathematical foundation for describing the zeros of the Selberg…

EXTREMAL SASAKIAN GEOMETRY ON S3-BUNDLES OVER RIEMANN SURFACES CHARLES P BOYER AND CHRISTINA W TØNNESEN-FRIEDMAN Abstract In this paper we study the Sasakian geometry on…

ENIGMA 08 Algebras of geodesics on Riemann surfaces and algebras of Stockes parameters Leonid Chekhov with Marta Mazzocco Steklov Math Inst ITEP and Poncelet Labo Moscow…

Orthogonal polynomial expansions for the Riemann xi function Dan Romik Author address: Department of Mathematics, University of California, Davis, One Shields Ave, Davis…

1 Approved for public release distribution unlimited Potential Surfaces and Dynamics of the O3P + H2OX1A1 → OHX2Π + OHX2Π Reaction M Braunstein* R Panfili R Shroll and…