Plan of the seminar: we separate each talk into two. In the first 60 minutes the speaker gives an introductory talk for non-mathematicians. After a short break, the second 60 minutes is spent for a bit more detailed talk for mathematicians (working in other areas). We welcome you joining both parts of the seminar or only the first/second half.

Abstract:
In this seminar, I will talk about mathematical study of Schroedinger operators (or Schroedinger equation).

Part 1: I will talk about what mathematicians do to find a solution to Schroedinger equation. The goal of the first part is to be able to check the existence of solutions of Schroedinger equations in terms of decay/growth rate of potentials.

Part 2: I will talk about what can we say about solutions to Schroedinger equation constructed in the first part. Especially, the relationship to the corresponding classical mechanic is introduced.

Hydrodynamics has been a universal tool to study the large scale (long-wavelength) dynamics of interacting many-body systems. It had not been, however, applied to integrable systems until 2016 when two papers, one of which is ours [Physical Review X 6 (4), 041065, (2016)], provided a first legitimate hydrodynamic theory of integrable systems that incorporates the anomalous number of conserved quantities in those systems. The key idea of the theory rests upon the use of thermodynamic Bethe ansatz that allows us to express the essential ingredients in hydrodynamics, densities and currents average of conserved charges, in terms of the quasi-particle basis. In this talk I will review this new hydrodynamic theory, coined generalized hydrodynamics (GHD). I will first introduce the basics of GHD, highlighting the difference with the conventional hydrodynamics (i.e. hydrodynamics for non-integrable systems). I will then present some recent developments in the theory, such as the exact computation of the Drude weight and hydrodynamic correlation functions.

16:15- Teatime
16:30- Talk by Prof. Makoto Fujita
17:50- Talk by Prof. Kazutoshi Mori

The 9th MACS colloquium supported by iTHEMS. It will be broadcasted to Wako, but if you can join the colloquium physically in Kyoto, that would be better. iTHEMS provides good confectionery at Kyoto!

Memes are to cultures what genes are to people: ideas, behaviors, or styles that are transmitted within the culture and can propagate or die out. The universe is a big place. How much of it knows about Grumpy Cat? Tale of Genji? Earth?

Cost: JPY1,500 including a drink

Co-hosted by RIMS Kyoto University and iTHEMS RIKEN.

SUURI-COOL (Kyushu) at the Ito-campus of Kyushu Univ. will be launched on July 31, 2019. As a first event at SUURI-COOL (Kyushu), the following lecture by Takumi Doi (RIKEN Nishina Center/iTHEMS) will be held. Feel free to join if you will be around Ito-campus.

Nuclei, many-body systems of baryons as protons and neutrons, are ultimately consist of elementary particles of quarks and gluons and their properties are governed by quantum chromodynamics (QCD). Recently, a new theoretical method is developing in lattice QCD, the first-principles calculation of QCD, and the new era is dawning where nuclear physics is constructed directly based on QCD. In this lecture, I first introduce the formulation of lattice QCD.
I will then discuss the theoretical foundation and the latest numerical results about the lattice QCD study of hadron interactions, the key quantities to construct nuclear physics from QCD. I will also give a lecture on computational science, in particular, about supercomputers.

Organizers
Masaharu Nagayama (MSC, Hokkaido Univ.)
Tetsuo Hatsuda (iTHEMS, RIKEN)
Hiroshi Suito (AIMR, Tohoku Univ.)
Takayuki Sakajyo (SACRA, Kyoto Univ.)