BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20260514T110411EDT-3190u6EgfR@132.216.98.100 DTSTAMP:20260514T150411Z DESCRIPTION:Bruce Kleiner (Courant Institute\, NYU)\n\n\n\nBruce Kleiner wi ll deliver a series of three lectures\, one of which is intended for a gen eral mathematical audience.\n\nBiography: Professor Bruce Kleiner is a wor ld-leading expert in geometric analysis. He is professor at New York Unive rsity’s Courant Institute of Mathematical Sciences. He received his Ph.D. from the University of California\, Berkeley in 1990. Among many important contributions to the field\, Professor Kleiner proved\, in 1992\, the Car tan-Hadamard conjecture in dimension 3 and found\, in 2007\, a relatively simple proof of Gromov’s theorem on groups of polynomial growth. In 2013\, he received with Professor John Lott the National Academy of Sciences Awa rd for Scientific Reviewing for their joint detailed exposition of Perelma n's celebrated solution of the Poincaré Conjecture. He is a 2014 and 2024 Simons Fellow and a 2006 and 2022 ICM speaker. Recently\, in joint work wi th Richard Bamler\, Professor Kleiner proved the Multiplicity One Conjectu re for mean curvature flows of surfaces in R^3.\n\n1st and 2nd lectures\n \nMonday October 28\, 2024 and Wednesday October 30\, 2024 from 3:30 p.m. to 4:30 p.m. \n Room 5340 (CRM).\n\nTitle of 1st lectures : Diffeomorphism groups\, moduli spaces\, and Ricci flow I.\n\nTitle of 2nd lectures : Diff eomorphism groups\, moduli spaces\, and Ricci flow II.\n\nAbstracts of lec ture 1 and 2 : The Smale Conjecture (1961) may be stated in any of the fol lowing equivalent forms:\n -The space of embedded 2-spheres in R^3 is contr actible.\n -The inclusion of the orthogonal group O(4) into the group of di ffeomorphisms of the 3-sphere is a homotopy equivalence.\n - The space of a ll Riemannian metrics on S^3 with constant sectional curvature is contract ible.\n\nThis fascinating conjecture inspired many subsequent advances in topology and geometry over the ensuing decades\, both in the case of 3-man ifolds\, and in higher dimensions. Recently\, Ricci flow was used to settl e several long-standing conjectures which had resisted all other approache s. After covering the necessary background\, the aim of the first two lect ures will be to give an account of these developments for non-experts.\n\n 3rd lecture\n\nFriday November 1\, 2024 from 3:30 p.m. to 4:30 p.m. \n Room 5340 (CRM).\n\nTitle : Recent progress in mean curvature flow. \n\nAbstra cts : An evolving surface in space is a mean curvature flow if its (normal ) velocity vector field is given by its mean curvature\, at every time. Me an curvature flow is the steepest descent (gradient) flow for the area fun ctional\, and the natural analog of the heat equation for an evolving surf ace. It first appeared in the physics literature in the 1950's in the cont ext of annealing\, and it has served as a mathematical model for a variety of physical situations where an interface (or surface) has an energy prop ortional to area\, and inertial effects are negligible. It also has applic ations in mathematics\, engineering and computation. Mean curvature flow h as been studied intensely by mathematicians since the late 70s using a wid e range of tools from analysis and geometry\, with the aim of developing a rigorous mathematical theory incorporating the formation and resolution o f singularities. The lecture will discuss the developments over the decade s\, including recent breakthroughs in the last 5-10 years.\n\n\n  \n DTSTART;VALUE=DATE:20241028 DTEND;VALUE=DATE:20241101 SUMMARY:Nirenberg Lectures in Geometric Analysis URL:https://www.mcgill.ca/mathstat/channels/event/nirenberg-lectures-geomet ric-analysis-360492 END:VEVENT END:VCALENDAR