List of Talks in English

• Magnitude homology of geodesic space.
  Magnitude 2019: Analysis, Category Theory, Applications, The University of Edinburgh, UK, July 5, 2019.

• Is magnitude related to physics of patterned resonators? PDF
  Topological Phases of Interacting Quantum Systems, Casa Matemática Oaxaca, Mexico, June 6, 2019.

• Band topology and submanifolds of matrices.
  Progress in the Mathematics of Topological States of Matter, Tohoku University, Japan, August 14, 2018.
  Recent progress in mathematics of topological insulators, ETH Zürich, Switzerland, September 5, 2018.

• Topological crystalline insulators and K-theory. I,II.
  Topology & Condensed Matter , National Tsing Hua University, Taiwan, March 22-23, 2018.

• Atiyah-Hirzebruch Spectral Sequence in Band Topology.
  Mini-workshop on Topological States and Non-commutative Geometry , Tohoku University, Japan, March 1, 2018.

• Bott periodicity and Thom isomorphism in Freed-Moore K-theory.
  Gauge theory and higher geometry , The University of Adelaide, Australia, Nov 30, 2017.

• Classifications of some twisted equivariant bundles.
  The second Australia-Japan Geometry, Analysis and their Applications , Kisyu Shirahama Onsen Musashi, Shiramaha, Japan, Feb 3, 2017.

• K-theory, gapped quantum system and C-symmetric indefinite metric space.
  The second Australia-Japan Geometry, Analysis and their Applications , Kyoto University, Japan, Jan 31, 2017.
  The AMS Sectional Meeting, Special Session on Topological Mathematical Physics , Indiana University, Bloomington, USA, Apr 2, 2017.

• K-theory of the torus equivariant under the 2-dimensional crystallographic point groups.
  Coloquio de Matemática UC , Pontificia Universidad Católica de Chile, Chile, Sep 9, 2016.

• Introduction to topological K-theory: Basics of topological K-theory.
  Noncommutative Topics: Mini-workshop in Mathematical Physics , Pontificia Universidad Católica de Chile, Chile, Sep 6, 2016.

• K-theory of the torus equivariant under the 2-dimensional crystallographic point groups. PDF
  Australia-Japan Geometry, Analysis and their Applications , The University of Adelaide, Australia, Oct 21, 2015.

• The FKMM invariant.
  Mini-workshop on Topological States and Non-commutative Geometry , Tohoku University, Japan, Mar 23, 2015.

• A variant of K-theory and topological T-duality for "Real" circle bundles.
  Seminar, Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany, Dec 4, 2014.

• The FKMM invariant of `symplectic' vector bundles.
  The Second China-Japan Conference on Noncommutative Geometry and K-theory, Okinawa, Japan, Oct 5, 2014.

• The FKMM invariant in low dimension.
  Differential geometry seminars, The University of Adelaide, Australia, Sep 12, 2014.

• Topological T-duality for Real circle bundles.
  Further development of Atiyah-Singer index theorem and K-theory, Kyoto University, Japan, Dec 19, 2013.

• Mickelsson's twisted K-theory invariant.
  The 6th Pacific RIM Conference on Mathematics 2013, Sapporo, Japan, July 2, 2013.

• Mickelsson's twisted K-theory invariant and its generalization.
  Discrete Geometry and Dynamical Systems, Kyoto University, Japan, Jan 25, 2013;
  MS Seminar, IPMU, Japan, Mar 5, 2013.

• Differential K-theory and the Adams operation.
  Seminar, Aarhus University, Denmark, Dec 20, 2010;
  East Asian Conference on Algebraic Topology, 4, The University of Tokyo, Japan, Dec 8, 2011;
  Topology and Analysis on Foliations, Nagoya University, Japan, Mar 24, 2012.

• Multiplication in differential cohomology and cohomology operation. PDF
  Quantum algebra related to various topological field theories in geometries, Kyoto University, Japan, Feb 17, 2009.

• An analogy of the space of conformal blocks in (4k+2)-dimensions.
  Geometry Seminar, The University of Hong Kong, China, Dec 2007.

• Twisted K-theory and finite dimensional approximation.
  Geometry Seminar, The University of Texas at Austin, USA, Oct 2007;
  Geometry Seminar, The University of Hong Kong, China, Nov 2007;
  IMS Geometry Seminar, The Chinese University of Hong Kong, China, Nov 28, 2007.

• An approach to finite-dimensional realizations of twisted K-theory. PDF
  MSJ-IHES Joint Workshop on Noncommutativity,
  Institut des Hautes Études Scientifiques, France, Nov 2006

• Twisted K-theory and finite-dimensional approximation. PDF
  School on Poisson geometry and related topics,
  Keio University, Japan, June 2006

• Representations of gauge transformation groups of higher abelian gerbes. DVI
  International Workshop on Noncommutative Geometry and Physics 2005,
  Tohoku University, Japan, Nov 2005

• Central extensions of gauge transformation groups of higher gerbes. DVI
  International Symposium on Recent Advances in Mathematics and its Applications,
  Calcutta Mathematical Society, India, Dec 2003

• The formulation of the Chern-Simons action for general compact Lie groups using Deligne cohomology.
  DMV-Seminar: Characteristic Classes of Connections, Riemann-Roch Theorems, Analogies with epsilon-factors,
  Mathematisches Forschungsinstitut Oberwolfach, Germany, Nov 2000