Geometric Analysis in Geometry and Topology 2014

幾何学・位相幾何学における幾何解析 2014
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October 28–31, 2014Morito Memorial Hall, Tokyo University of Science, 1-3 Kagurazaka, Shinjuku-ku, Tokyo 162-8601, Japan

招待講演者 / Invited speakers

  • Pierre Albin (University of Illinois at Urbana-Champaign, USA)
  • Gilles Carron (Université de Nantes, France)
  • Justin Corvino (Lafayette College, USA)
  • Tom Mrowka (MIT, USA)
  • Daniel Ruberman (Brandeis University, USA)

プログラム

Program

October 28 (Tue.)

October 28 (Tue.)のプログラム
時間講演者講演題目
10:00–11:00Daniel RubermanBrandeis UniversityIndex theory on end-periodic manifolds — End-periodic differential operators
11:30–12:30Gilles CarronUniversité de NantesSurvey on some geometrical estimates of the Heat and Green kernel on noncompact complete manifolds
14:00–15:00Justin CorvinoLafayette CollegeDeformation and gluing constructions for scalar curvature, with applications I
15:30–16:30Pierre AlbinUniversity of Illinois at Urbana-ChampaignHodge theory on singular spaces I

October 29 (Wed.)

October 29 (Wed.)のプログラム
時間講演者講演題目
10:00–11:00Daniel RubermanBrandeis UniversityIndex theory on end-periodic manifolds — Applications of the end-periodic index theorem
11:30–12:30Tom MrowkaMIT, USAInvariants for Knots and Webs from Singular Instantons I
14:00–15:00Gilles CarronUniversité de NantesHarmonic analysis and the Riesz transform on noncompact complete Riemannian manifolds with quadratic (Ricci) curvature decay
15:30–16:30Justin CorvinoLafayette CollegeDeformation and gluing constructions for scalar curvature, with applications II

October 30 (Thu.)

October 30 (Thu.)のプログラム
時間講演者講演題目
10:00–11:00Daniel RubermanBrandeis UniversityIndex theory on end-periodic manifolds — Examples and extensions
11:30–12:30Tom MrowkaMIT, USAInvariants for Knots and Webs from Singular Instantons II
14:00–15:00Gilles CarronUniversité de NantesHarmonic functions and the topology of noncompact complete Riemannian manifolds
15:30–16:30Pierre AlbinUniversity of Illinois at Urbana-ChampaignHodge theory on singular spaces II