Date

2024年4月22日 (月) 9:302024年4月26日 (金) 16:00

Spring Workshop on the Representation Theory of Algebras and related areas mini-courses & research talks

Mini-courses by : Thomas Brustle (Canada), Aaron Chan (Japan), Nathan Reading (USA)

n), Nath

Date

2024年4月25日 (木) 10:30 11:30

Date

2024年4月23日 (火) 10:30 11:30

Dr. David Jordan, Cambridge University

Date

2024年4月24日 (水) 15:00

QG group meeting.
Speaker: Yasha Neiman.
Title: "Lightcone and unfolding - opposites yet the same".

Date

2024年4月26日 (金) 11:00 12:00

Dr. Gordon Wichern, Senior Principal Research Scientist, MERL (Mitsubishi Electric Research Laboratories) 

Title: Towards explaining audio generative models

Date

2024年4月19日 (金) 13:00 14:00

OIST organizer: OIST Center for Quantum Technologies (OCQT) and Bill Munro (Quantum Engineering & Design Unit) | OIST members are welcome to attend all scientific sessions.

Date

2024年5月29日 (水) 15:00

Speaker : Professor Neal Bez, Saitama University

Title : The Brascamp-Lieb Inequality

 

★Please click here to register

Date

2024年5月15日 (水) 10:00 11:00

Speaker: Professor Jana Björn, Linköping University and OIST TSVP Visiting Scholar

Title: The Dirichlet Problem and Boundary Regularity for Nonlinear Parabolic Equations

Abstract: As shown by Serrin in 1964, the growth at an isolated singularity of solutions to the elliptic equation div A(x, ∇u) = 0 in Rn (including p-harmonic functions with p > 1) is exactly determined by the dimension n and the parameter p associated with the equation. In this talk, I will discuss growth and integrability properties for p-harmonic Green functions and their gradients on weighted Rn, with a p-admissible weight, as well as on complete metric spaces equipped with a doubling measure supporting a p-Poincar´e inequality. In these situations, the dimension n is replaced by the local growth of the underlying measure near the isolated singularity, and the obtained growth and integrability exponents are sharp.

Date

2024年5月8日 (水) 10:00 11:00

Speaker:  Professor Anders Björn, Linkoping University and OIST TSVP Visiting Scholar

Title: The Dirichlet problem and boundary regularity for nonlinear parabolic equations    

Abstract: The p-parabolic equation \[ \partial_t u = \Delta_p u := \dvg(|\nabla u|^{p-2}\nabla u) \] is a nonlinear cousin of the classical heat equation. As such, it offers both difficulties and advantages compared with the heat equation. In the talk, we consider the Perron method for solving the Dirichlet problem for the p-parabolic equation in general bounded domains in $R^{n+1}$. Compared to space-time cylinders, such domains allow the space domain to change in time. Of particular interest will be boundary regularity for such domains, i.e. whether solutions attain their boundary data in a continuous way. Relations between regular boundary points and barriers will be discussed, as well as some peculiar examples and surprising phenomena related to boundary regularity. Towards the end I will discuss the same type of questions for two other nonlinear cousins of the heat equation, the porous medium equation \[ \partial_t u = \dvg(u^m) \] and the so-called normalized p-parabolic equation \[ \partial_t u = |\nabla u|^{2-p}\Delta_p u. \] The talk is based on collaborations with Jana Bj\"orn (Link\"oping), Ugo Gianazza (Pavia), Mikko Parviainen (Jyv\"askyl\"a) and Juhana Siljander (Jyv\"askyl\"a).

Date

2024年4月17日 (水) 15:00 16:00

Speaker: Dr. Brian Seguin, Associate Professor, Loyola University Chicago

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