INNOVATION SEMINAR: Mr. Eli Lyons, CEO of Genome Miner and OIST Entrepreneur-in-Residence, will regale us with stories of his roller-coaster ride from a graduate student at the University of Tokyo to Co-founder of 2 startup companies in Japan. Pizza to follow. In-person:open to the first 30 participants.

 Associate Professor Kabe Moen, The University of Alabama

Title: Fractional Integrals and weights Part III

Abstract:

In this talk we will cover the two weight inequalities for the fractional integral operator and related fractional maximal operator. We will discuss the background of two-weight inequalities and Sawyer’s testing conditions and two weight characterization. We will also discuss bump conditions and some open questions.

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Associate Professor Kabe Moen, The University of Alabama

Title: Fractional Integrals and weights Part II

Abstract:

In this talk we will cover the one weight inequalities for the fractional integral operator and related fractional maximal operator. We will discuss the background of A_p weights and A_{p,q} weights and go over the dyadic decomposition of the fractional integral operator.  We will also cover auxiliary results like sharp constants and.

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Wednesday 10th November 2021, 10:00–11:00 JST (UTC+9), online on Zoom

Associate Professor Kabe Moen, The University of Alabama

Title: Fractional Integrals and weights Part I

Abstract:

I will introduce fractional integral operator and its related maximal operator. After developing some of the relevant background, we will discuss its boundedness on Lebesgue spaces and various related inequalities of Hedberg and Welland. We will also cover endpoint bounds and applications to Sobolev-Poincare inequalities.

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Speaker:

Yumiko IMAI, Project Leader, Ph.D.
Regulation for Intractable Infectious Diseases
Center for Vaccine & Adjuvant Research
National Institutes of Biomedical Innovation, Health and Nutrition (NIBIOHN)

Speaker:
    Prof. Hitoshi Okamura
    Department of System Biology, Graduate School of Pharmaceutical Sciences
    Kyoto University

TQM unit is pleased to invite you to the seminar!

★DISTINGUISHED LECTURE

Professor Yoshikazu Giga,  The University of Tokyo

Title: On a singular limit of a single-well Modica-Mortola functional and its applications

Abstract:

It is important to describe the motion of phase boundaries by macroscopic energy in the process of phase transitions. Typical energy describing the phenomena is the van der Waals energy, which is also called a Modica-Mortola functional with a double-well potential or the Allen-Cahn functional. It turns out that it is also important to consider the Modica-Mortola functional with a single-well potential since it is often used in various settings including the Kobayashi-Warren-Carter energy, which is popular in materials science. It is very fundamental to understand the singular limit of such a type of energies as the thickness parameter of a diffuse interface tends to zero. In the case of double-well potentials, such a problem is well-studied and it is formulated, for example, as the Gamma limit under L1

convergence.

However, if one considers the Modica-Mortola functional, it turns out that L1

convergence is too rough even in the one-dimensional problem.

We characterize the Gamma limit of a single-well Modica-Mortola functional under the topology which is finer than L1

topology. In a one-dimensional case, we take the graph convergence. In higher-dimensional cases, it is more involved. As an application, we give an explicit representation of a singular limit of the Kobayashi-Warren-Carter energy. Since the higher-dimensional cases can be reduced to the one-dimensional case by a slicing argument, studying the one-dimensional case is very fundamental. A key idea to study the one-dimensional case is to introduce “an unfolding of a function” by changing an independent variable by the arc-length parameter of its graph. This is based on a joint work with Jun Okamoto (The University of Tokyo), Masaaki Uesaka (The University of Tokyo, Arithmer Inc.), and Koya Sakakibara (Okayama University of Science, RIKEN).

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Our speaker will be Michelle Maiese on Mindshaping, Racist Habits, and White Ignorance. We will be meeting on Monday, November 8, 2021 at 9:30 am, Japan time (GMT +9).

Blueprint for a Scalable Photonic Fault-Tolerant Quantum Computer – Dr. J. Eli Bourassa and Dr. Ilan Tzitrin, Xanadu