Fields Notes 18.1 - Page 9

Organizers: Spyros Alexakis (U of T), Walter Craig (McMaster University), Robert Haslhofer (U of T), Spiro Karigiannis (University of Waterloo), Aaron Naber (Northwestern University), McKenzie Wang (McMaster University) Participants at the Workshop on Mean Curvature Flow and Ricci Flow • November 6-10, 2017 resulted in fruitful interaction. Just on the mathematics side of things, there were three Bôcher Memorial Prize winners, a Veblen Prize winner, and a Fields medallist. The participants from physics were also very distinguished. A typical comment was "One of the best conferences I have been to in many years, with an astonishing quality of lectures." The meeting resulted in many published papers. "I really enjoyed the interaction between different fields; I learned a lot from the mathematicians, and I hope the mathematicians were interested in the physical motivatio ns we (physicists) tried to provide." —Participant at the Workshop on General Relativity & AdS/CFT The Workshop on Mean Curvature Flow and Ricci Flow was held from November 6 to 10 with an associated mini‑school held immediately prior to it, on November 4 and 5. This mini‑school featured two five‑hour courses delivered by teams of leading researchers in the field. The first, delivered jointly by Lu Wang (Wisconsin) and Jacob Bernstein (Johns Hopkins) gave a nice overview of the recent theory of entropy under mean curvature flow. The second, delivered jointly by Dan Knopf (Texas at Austin) and Richard Bamler (Berkeley) described the recent progress on Ricci flow through singularities, including recent breakthroughs in dimension three. The workshop commenced with two lectures by Bruce Kleiner (NYU) and Richard Bamler (Berkeley) on their spectacular uniqueness result for 3d weak Ricci flow, which has far‑reaching applications in geometry and topology, in particular a proof of the generalized Smale conjecture. The question of weak Ricci flow is currently a very hot topic, and two further exciting approaches based on stochastic analysis and optimal transport were described in a colourful talk by Esther Cabezas-Rivas (Frankfurt) and an overview talk by Karl-Theodor Sturm (Bonn). GAP 2017: Curvature Flows in Complex Geometry. This affiliated event funded separately by the Fields and Perimeter Institutes was held in early December and featured four-hour mini-courses from each of three distinguished speakers: Jeffrey Streets (Irvine), Ben Weinkove (Northwestern), and Xiangwen Zhang (Irvine), on geometric curvature flows arising in complex geometry. Two weekly seminars for program participants were initiated immediately after the end of "Quintic_1" by Floriang, used under CC BY 2.0 9