The collaboration will hold a VIRTUAL meeting on 24-28 May, 2021, entitled “Numerical and Geometric Methods for Ricci-flat Metrics and Flows”.
Scientific Organizers:
Bobby Acharya, Robert Bryant, and Jason Lotay.
Summary:
This workshop will survey some recent progress in understanding methods for constructing, analyzing, and classifying Ricci-flat metrics, Ricci solitons, and various flows. These methods include traditional geometric estimate-based methods as well as numerical approaches to approximating Ricci-flat metrics. There will talks by both mathematicians and physicists and motivations, methods, and applications in physics will be discussed as well.
We will hold two lectures per day, plus moderated discussion sessions on Tuesday and Thursday. Zoom access to the lectures is by invitation only, but YouTube access for the lectures will also be available at
https://www.youtube.com/channel/UCGw1y7VGRYGM7Wtk07JtFcA/
Our schedule is as follows. – All times are given in British Summer Time as well as in Eastern Daylight Time. (Please refer to a time zone converter if you aren’t sure what time it will be in your time zone). There will be a brief conference introduction from Robert Bryant prior to the first talk on Monday.
Timetable
|
MON 24 MAY |
TUE 25 MAY |
WED 26 MAY |
THU 27 MAY |
FRI 28 MAY |
|
|
16:00-17:00 (BST) |
S. Donaldson | H.-J. Hein | S. Brendle | N. Kapouleas | D. Knopf |
|
18:00-19:00 (BST) |
M. Douglas | L. Anderson | T. Ozuch | R. Bamler | |
|
19:15-21:00 (BST) |
Discussion Led by A. Ashmore (U. Chicago, physics) | Discussion led by B. Acharya (ICTP & King’s College London) |
Documents associated with Tuesday’s discussion:
Documents associated with Thursday’s discussion:
Speakers:
The links will take you to abstracts, slides of lectures, and/or video recordings of the lectures (when available).
- Lara Anderson (Virginia Tech), SU(3)-Holonomy and SU(3)-Structure metrics from Machine Learning
- Richard Bamler (UC Berkeley), U(2)-invariant Ricci flows in dimension 4 and partial regularity theory for Ricci flows
- Simon Brendle (Columbia), Ancient solutions to the Ricci flow in dimension 3
Panagiota Daskalopoulos (Columbia), Ancient compact solutions to Ricci flow and Mean curvature flow
Lecture cancelled- Simon Donaldson (SCGP and Imperial College London), Asymptotic analysis, moment maps and numerical approximations in Kahler geometry
- Michael Douglas (Harvard CMSA and Stony Brook), Numerical Calabi-Yau metrics from holomorphic networks
- Hans-Joachim Hein (Münster), The renormalized volume of a 4-dimensional Ricci-flat ALE space
- Nicos Kapouleas (Brown), Gluing Eguchi-Hanson Metrics and a Question of Page
- Dan Knopf (U. Texas, Austin), Ricci Solitons, Conical Singularities, and Nonuniqueness
- Tristan Ozuch (MIT), Noncollapsed degeneration and desingularization of Einstein 4-manifolds
