[geometry-ml:02442] Mathematical Approach to Topological Phases in Spintronics

[Motoko Kotani]

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Mathematical Approach to Topological Phases in Spintronics

Date: October 5th to 9th, 2015
Place: Tohoku Forum for Creativity, Tohoku University
http://www.tfc.tohoku.ac.jp/

Aim: Recent insights in the deep connection between the physics of
TopologicalInsulators and the Atiyah�Singer Index Theorem inspire
Mathematicians and　Mathematical Physicists by the implied rich potential
for discovery of new topological phases and need for their mathematical
description. We will gather an interdisciplinary group of leading
researchers to explore this space and discuss prospects and directions for
further developments. We specially target a mathematical framework for the
bulk-edge correspondence of interacting systems as well as topological
phases of disordered systems.

Program
Monday, October 5th
10:00-10:50 Bruno Nachtergaele (University of California Davis)
TBA
11:00-11:50 Gian-Michele Graf (ETH)
Another glance at some well-known indices
Lunch Break
14:00-14:50 Mikio Furuta (University of Tokyo)
TBA
15:00-15:40 Yosuke Kubota (University of Tokyo)
Controlled topological phases and bulk-edge correspondence
Tea
16:10-16:50 Emil V. Prodan (Yeshiva University)
Bulk-Boundary program for complex topological insulators: From K-theory to
physics
17:00-17:50 Graeme Milton (University of Utah)
TBA
18:00 Buffet Party

Tuesday, October 6th
10:00-10:50 Spyridon Michalakis (California Institute of Technology)
Exploring topological quantum phases
11:00-11:50 Johannes Kellendonk (Université Lyon I)
The C*-algebraic approach to topological phases
Lunch Break
14:00-14:50 Yosuke Kubota(University of Tokyo)
Controlled topological phases and bulk-edge correspondence
15:00-15:40 Max Lein (Tohoku University)
Existence and absence of non-linear effects in photonic topological
insulators
Tea
16:10-16:50 Akinori Tanaka (Riken)
Supersymmetric gauge theory on RP2 x S1
17:00 -17:50 Koji Hashimoto (Osaka University)
Band spectrum of topological insulators is D-brane shape

Wednesday, October 7th
10:00-10:50 Spyridon Michalakis (California Institute of Technology)
The Quantum Hall Effect revisited
11:00-11:50 Liang Kong (University of New Hampshire & Harvard University)
Bulk-edge relation for topological orders with gapped edges
Lunch Break
14:00-14:50 Alan Carey (Australian National University)
Topological phases and Kasparov Theory
15:00-15:40 Christopher Bourne (Australian National University)
Real Kasparov theory and the bulk-edge correspondence
Tea
16:10-16:50 Giuseppe De Nittis (Pontificia Universidad Católica de Chile)
The topology of chiral vector bundles: Topological insulators of type AIII
17:00-17:50 Peter Bouwknegt (Australian National University)
Towards a classification of topological phases for strongly interacting
systems

Thursday, October 8th
10:00-10:50 Bruno Nachtergaele (University of California Davis)
TBA
11:00-11:50 Shuichi Murakami (Tokyo Institute of Technology)
TBA
Lunch Break
14:00-14:50 Kentaro Nomura (Tohoku University)
Chiral anomaly and coupled charge-magnetization excitations in a Weyl
semimetal
15:00-15:40 Anton Akhmerov (Technical University of Delft)
TBA
15:50-16:30 Koji Sato (Tohoku University)
Anomalous Hall effect driven by dipolar spin waves in uniform ferromagnets
16:40-17:20 Rembert Duine (University of Utrecht)
Topological transport in spin-orbit coupled bosonic Mott insulators

Friday, October 9th
10:00-10:50 Shinsei Ryu (University of Illinois at Urbana-Champaign)
TBA
11:00-11:50 Franco Nori (Riken)
Quantum spin Hall effect of light
Close
======
Tutorial lecture
13:00-13:40 Alan Carey (Australian National University)
Introduction to K-theory and generalizations I
13:55-14:35 Alan Carey (Australian National University)
Introduction to K-theory and generalizations II
15:00-15:50 Shinsei Ryu（University of Illinois at Urbana-Champaign）
Introduction to topological insulators and superconductors

=====

Organizers: Jean Bellissard (Georgia Tech.), Pavel Exner (Czech Tech.
Univ,), Peter
Kuchment (Texas A&M), Graeme Milton (Univ. of Utah), Zagrebnov Valentin (AMU
Université d'Aix-Marseille), Motoko Kotani (Tohoku Univ., Chair)