Past Talks
 Kyeongsu Choi, Ancient mean curvature flow and singularity analysis, Monday, 28 September 2020.
 Tadahisa Funaki, Motion by mean curvature and coupled KPZ from particle systems, Monday, 25 May 2020.

Benjamin Gess,
Large deviations for conervative, stochastic PDE and nonequilibrium fluctuations
Monday, 21 December 2020.

Changfeng Gui,
New Sharp Inequalities in Analysis and Geometry,
Monday, 1 June 2020.
 Hitoshi Ishii, The vanishing discount problem for systems of HamiltonJacobi equations , Monday, 18 May 2020.
 Soonsik Kwon, On pseudoconformal blowup solutions to the selfdual ChernSimonsSchrödinger equation , Monday, 8 June 2020.
 Yi Lai, A family of 3D steady gradient solitons that are flying wings , Monday, 30 November 2020.

Mathew Langford,
The atomic structure of ancient grain boundaries
,
Monday, 26 October 2020.

Martin Li,
Mean curvature flow with free boundary
,
Monday, 22 June 2020.

Yanyan Li,
Gradient estimates for the insulated conductivity problem
,
Monday, 2 November 2020.

Felix Otto,
A variational approach to the regularity theory for optimal transportation
,
Monday, 9 November 2020.
 Francesco Maggi, Symmetry results for Plateau's surfaces , Tuesday, 17 November 2020.
 Akihiko Miyachi, Some recent results on multilinear pseudodifferential operators with exotic symbols , Monday, 15 June 2020.

Connor Mooney,
The Bernstein problem for elliptic functionals
,
Monday, 29 June 2020.
 Shohei Nakamura,
Maximal estimates for the Schrödinger equation with
orthonormal initial data
,
Monday, 7 September 2020.

Michael Röckner,
The evolution to equilibrium of solutions to nonlinear FokkerPlanck
equations
,
Monday, 14 September 2020.

Daniel Spector,
Optimal Lorentz Estimates for DivCurl Systems
,
Monday, 19 October 2020.

Mitsuru Sugimoto,
A constructive approach to semilinear wave equations
,
Monday, 25 January 2021.

Keisuke Takasao,
Phase field method for volume preserving mean curvature flow
,
Monday, 7 December 2020.

FengYu Wang,
Exponential Convergence in Entropy of McKeanVlasov SDEs
,
Monday, 14 December 2020.

Zhenfu Wang,
Quantitative Methods for the Mean Field Limit Problem
,
Monday, 12 October 2020.

Glen Wheeler,
Current progress in higherorder curvature flow
,
Tuesday, 6 October 2020.

Chao Xia,
Recent progress on a sharp lower bound for Steklov eigenvalue
,
Monday, 11 May 2020.

Shiwu Yang,
Asymptotic decay for semilinear wave equation
,
Monday, 6 July 2020.

Pin Yu,
On the rigidity from infinity for nonlinear
Alfvén waves
,
Monday, 31 August 2020.
Professor @ Nagoya University, Japan.
Professor Sugimoto was a Research Associate @ University of Tsukuba in 198790 and received his Ph.D. there in 1992.
He worked @ Osaka University from 1990 until 2008, and is now a Professor @ Nagoya University since 2008.
Slides to the talk 
A constructive approach to semilinear wave equations
In this talk, I will explain a new attempt to construct selfsimilar solutions to semilinear wave equations with power nonlinearity. The existence of selfsimilar solutions to the same equations has been already established by Pecher (2000), KatoOzawa (2003), etc. based on the standard fixed point theorem. We will rediscuss it by a constructive approach using the theory of hypergeometric differential equations. See the video of the talk
on our YouTube Channel.

Professor @ Max Planck Institute for Mathematics in the Sciences, Leipzip, Germany
Professor Gess received his PhD 2011 @ the University of Bielefeld, Germany under
the supervision of Michael Röckner. After Postdoc positions @ the University
of Bielefeld, TU Berlin, Humboldt University Berlin, and the University of Chicago from 20122015,
he was a pointed as Academic Fellow @ the University of Bielefeld in 2015. Since 2016, Gess
became reseach group leader at the MaxPlanck Institute for Mathematics in the Sciences,
Leipiz and got promoted to Professor (W2 in 2016 and W3 in 2019) @ the University of Bielefeld.

Large deviations for conservative, stochastic PDE and nonequilibrium fluctuations
Macroscopic fluctuation theory provides a general framework for far from equilibrium thermodynamics, based on a fundamental formula for large fluctuations around (local) equilibria. This fundamental postulate can be informally justified from the framework of fluctuating hydrodynamics, linking far from equilibrium behavior to zeronoise large deviations in conservative, stochastic PDE. In this talk, we will give rigorous justification to this relation in the special case of the zero range process. More precisely, we show that the rate function describing its large fluctuations is identical to the rate function appearing in zero noise large deviations to conservative stochastic PDE, by means of proving the Gammaconvergence of rate functions to approximating stochastic PDEs. The proof of Gammaconvergence is based on the wellposedness of the skeleton equation  a degenerate parabolichyperbolic PDE with irregular coefficients, the proof of which extends DiPernaLions' renormalization techniques to nonlinear PDEs. See the video of the talk
on our YouTube Channel.

Cheung Kong Chair Professor @ Beijing Normal University, China
Professor Wang received his PhD in 1993 @ the Beijing Normal University in China, where he also accepted the offer of employment to a tenure track position afterwards. Wang was promoted Professor @ the Beijing Normal University in 1995, where he also has the prestigious title of Changjiang Chair Professor since 2000. Since 2007, Professor Wang parallel to his appointed at BNU also Research Professor @ Swansea University in the UK and since 2016, Professor @ the Tiajin University.

Exponential Convergence in Entropy of McKeanVlasov SDEs
By using logHarnack and Talagrand inequalities, the exponential convergence in entropy is proved for nondegenerate or degenerate MckeanVlasov SDEs. As applications, this type exponential convergence is confirmed for non degenerate/degenerate granular media type equations generalizing existing studies on the exponential convergence in a mean field entropy studied by J. A. Carrillo, R. J. McCann, C. Villani (2003) and A. Guillin, W. Liu, L. Wu, C. Zhang (2019). See the video of the talk
on our YouTube Channel.

Associate Professor @ Kyoto University, Japan
Still to come

Exponential Convergence in Entropy of McKeanVlasov SDEs
In 1993, Ilmanen proved a global existence of the weak solution to the mean curvature flow in the sense of the Brakke flow by using the phase field method. On the other hand, if we try to apply Ilmanen's proof to the volume preserving mean curvature flow, difficulties arise in the $L^2$estimates of the nonlocal term. In this talk, we show a global existence of the weak solution in the sense of $L^2$flow, in the $2$ or $3$dimensional torus. We consider the AllenCahn equa+on with nonlocal term studied by Golovaty, and show the $L^2$estimates of the nonlocal term and the monotonicity formula. As a recent result, we also prove a global existence of the weak solution to the mean curvature flow with forcing term in the suitable Sobolev space, by developing the method. See the video of the talk
on our YouTube Channel.

PhD student @ University of California at Berkeley, United States.
Yi Lai is currently a Ph.D. student at UC Berkeley under the supervision of Professor Richard Bamler. She got her Bachelor's degree from Peking University in 2016. Her research interests are in geometric analysis and parRcularly in Ricci flow.

A family of 3D steady gradient solitons that are flying wings
We found a family of \(\mathbb{Z}_2\times O(2)\)symmetric 3D steady gradient Ricci solitons. We show that these solitons are all flying wings. This confirms a conjecture by Hamilton. See the video of the talk
on our YouTube Channel.
