Mathematical and Theoretical Physics Unit (Shinobu Hikami)
Mathematical and Theoretical Physics Unit
Professor Shinobu Hikami
Book
E. Brezin and S. Hikami,
Random Matrix Theory with an External Source,
SpringerBriefs in Mathematical Physics 19, (2016), Springer Singapore.
Abstract
Universal behaviors can be observed in various physical phenomena. For instance, a magnet shows a phase transition with critical indices, which are determined by the symmetry and the space dimensions. They do not depend on the details of the materials. In our unit, we study the universal phenomena of the disordered systems which are typically described by random scatterings and random potentials. The random walk in Brown motion is one of the wellknown problems in this field. The aim of our study is to generalize these approaches through the random matrix model and to discuss the universal phenomena.
The random matrix model can be applied to low dimensional electronic system such as a quantum dot, and also to the string theory and gauge theory. The molecularsequence of DNA or protein seems randomly distributed, but some of these sequences can be explained by random matrix theory. The biological system is an extremely complex system. Our research project is an approach to the biological system from the mathematical and theoretical physics by the use of the random matrix theory.
Upcoming Events
Silver workshop 2022 : “Complex geometry and related topics”
Hybrid of onsite & online (zoom) conference
For the security of Covid19, onsite attendants are restricted only to the invited talkers.
 Organizers: Noriko Yui (Queen’s University at Kingston), Kyoji Saito (RIMS), Shinobu Hikami (OIST)
 Dates: January 1112, 2022
 Venue: International House of Japan (IHJ), (Roppongi 51116/Tokyo) https://www.ihouse.or.jp/
Schedule
11^{th} January (room 404)
9:0010:00 George Elliott, zoom talk (19:00 EST 10^{th} Toronto)
“The classification of wellbehaved simple amenable C*algebras, and applications”
10:0011:00 Yasuyuki Kawahigashi,
"Tensor networks and operator algebras”
11:0012:00 Mutsuo Oka,
"Generalization of A'CampoVarchenko formula for almost nondegenerate functions"
12:0013:30 Lunch (The Garden)
13:3014:30 Shinichi Tajima,
“Grothendieck residue mappings and holonomic Dmodules”
12^{th} January (room 404 (morning)& room D(afternoon))
9:00 (JST)10:00 Noriko Yui, zoom talk (19:00 EST 11^{th }Toronto),
“Siegel modularity of certain CalabiYau threefolds over Q”
10:0011:00 Shinobu Hikami,
“Modularity and links in the intersection theory of pspin curves”
11:0012:00 Shihoko Ishii,
“Ideals in positive characteristic and fractional ideals in characteristic 0“
12:0013:30 Lunch (The Garden)
13:3014:30 Makiko Mase,
“Orlik’s conjecture and the Milnor lattice of isolated hypersurface singularities“

For the registrations of zoom, click here URL (Closed Jan 09).
 The recorded Zoom lectures are available up to one month for the use of the registered participants.
 Contact: Secretary (RUA): miwako.tokuda@oist.jp