Residues of manifolds, Magnitude 2023, Osaka Univ. 4 Dec 2023.
Dimensional parity on Mobius invariance of the energies and residues of manifolds, Differential Geometry with Udo, Tokyo Inst. Tech. 28 May 2023.
From energy of knots to residues (and energies) of (sub)manifolds, Energies of Knots, Residues of Manifolds and Related Topics, Chiba. 18 March 2023.
Open problems in knot energy, Math-Materials: International & Interdisciplinary Workshop Visualization & Ideal Embeddings of Entangled Structures, Tohoku (online), 06 Jul 2022.
Energy of knots in the 3-sphere, MARS Workshop, Salzburg. 23 Sep 2019.
Möbius invariant metric on the knot space. Biology, Analysis, Geometry, Energies, Links [bagel19]: A Program on Low-dimensional Topology, Geometry, and Applications. Institute for Mathematics and its Applications, University of Minneapolis, Minnesota, USA. 26 Jun 2019
(1) Energies and residues of manifolds and configuration spaces of polygons.
(2) Energy of knots and regularization of divergent integrals.
(3) Hadamard regularization and regularization via analytic continuation.
(4) How to define energies and residues of manifolds (From analysis to geometry).
Summer Conference on Topology and its Applications, Biology, Analysis, Geometry, Energies, Links [bagel19]: A Program on Low-dimensional Topology, Geometry, and Applications. Institute for Mathematics and its Applications, University of Minneapolis, Minnesota, USA. 17-22 Jun 2019.
Plan of Lectures (beamer). Energies and residues of manifolds (notes).
Regularization of self-inductance, 33rd Summer Conference on Topology and its Applications, West Kentucky University, USA. 18 Jul 2018.
Characterization of unit balls by Riesz energy, Convex, discrete and integral geometry, Banach Center Conference, Będlewo, Poland. 9 Jun 2017
From energy of knots to regularized Riesz energy of submanifolds, The 12th East Asian School of Knots and Related Topics, The University of Tokyo. 14 Feb 2017
Regularization of energies of knots and surfaces, Geometric energies with links to applications, topology and open problems, University of Basel. 03 Sept 2015.
Three topics in knot energies, Geometric knot theory, MFO Oberwolfach, Germany. 30 Apr 2013.
Renormalized potential energies and their asymptotics, Quantised Flux in Tightly Knotted and Linked Systems, Isaac Newton Institute, Cambridge, UK. 5 Dec 2012.
Möbius invariant energies and average linking with circle, ESF-EMS-CRM-Pi International Conference on Knots and Links: From Form to Function, Centro di Ricerca Matematica (CRM), Scuola Normale Superiore, Pisa. 4 July 2011.
Renormalization of r*-potentials and generalized centers, Differential Geometry and Parametrization of 3D Knots, Centro di Ricerca Matematica (CRM), Pisa (Italy). 28 June 2011.
Slopes of double helices and geometric energies, Statistical physics and topology of polymers with ramifications to structure and function of DNA and proteins (2-6, August, 2010, Panasonic Auditorium, Yukawa Hall, YITP, Kyoto University). 3 Aug. 2010.
Energy of knots and related topics, The 2nd TAPU-KOOK Joint Seminar on Knots and Related Topics & The 4th Graduate Student Workshop on Mathematics, Kyungpook National University, Daegu, Korea. 28 Jul. 2010.
Introduction to Knot Theory (with Javier Arsuaga), DNA Topology Course 2009, Okinawa Institute of Science and Technology, Okinawa, Japan. 3 Nov. 2009.
Conformally invariant energies of knots and links, Advanced School and Conference on Knot Theory and its Applications to Physics and Biology, International Centre for Theoretical Physics, Trieste, Italy. 26 May 2009.
Configuration space of small equilateral and equiangular polygons, Knots and soft-matter physics, Topology of polymers and related topics in physics, mathematics and biology, Yukawa Institute for Theoretical Physics, Kyoto University. 29 August 2008.
Conformal geometry of curves (Application of the space of spheres to Möbius geometry of knots) Aug 2008 Hirosaki
Energy of knots (survey talk), Workshop ``Moduli Spaces of Knots", American Institute of Mathematics, Palo Alto, CA, USA. 4 Jan. 2006.
The infinitesimal cross ratio as an area form, Workshop ``Extrinsic Con formal Geometry", Stefan Banach International Mathematical Center, Warszawa 10, Poland. 15 Nov. 2005.
Conformal geometry of curves, Lie Group and Representation Theory Seminar, Kyoto University, RIMS. 1 Nov. 2005.
Conformal geometry of knots, COE Conference ``Groups, Homotopy and Configuration Spaces'', The University of Tokyo, Tokyo Japan. 06 July 2005.
The Y-energy of knots, San Francisco, AMS Spring Western Sectional Meeting. 3,4 May 2003.
Energy of knots and the infinitesimal cross-ratio, TOPOLOGICAL FLUID MECHANICS, Cetraro (Calabria, Italy) - June 2-10. 5 June 2001.
Energy of knots and the infinitesimal cross-ratio, AMS Sectional Meeting, Univer sity of Nevada, Las Vegas, U.S.A. 22 April 2001.
Energy of knots and the infinitesimal cross-ratio, Seminaire d'Analyse, EPFL, Lausanne, Switzerland. 16 March 2001.
Conformal geometry, energy of knots and Langevin's functional, KNOTS, LINKS and MANIFOLDS - 4th International Siegen Topology Symposium, Siegen, Germany. 4 Jan 2001.
On energy of knots - Energy of knots and Langevin's functional, Spitalfields Day Follow-up: In Search of the Ideal Knot, Isaac Newton Institute for Mathematical Sci ences, Cambridge, U.K. 13 Oct 2000.
Langevin's conformal invariant knot energy, IMACS (International Association for Mathematics and Computers in Simulation) quadrennial World Congress on Scientific Computation, Applied Mathematics and Simulation, in Lausanne, Switzerland. 23 Aug 2000
Langevin's conformal invariant knot enery, KNOTS2000, Yongpyong Resort, Korea. Knot 2000. 3 Aug 2000.
Energy of knots, Advanced Course on Integral Geometry, Centre de Recerca M atematica, Universitat Autonoma de Barcelona, Spain. 20 Sep 1999.
Knot energy of higher order, KNOTS' 98 Hellas, European Cultural Center of Delphi, Delphi, Greece. 11 Aug 1998.
Energy of knots, Conference on Low Dimensional Topology, Universidade da Madeira, Funchal, Portugal. 15 Jan 1998.
Energy minimizing knots in $S^3$ and $H^3$, AMS Meeting. Special Session "Physical knot theory", University of Iowa. 22 Mar 1996.
Energy of a knot, ICM 90 Kyoto. 23 Aug 1990.
Energy of a knot, University of Hawaii, Topology Hawaii. 14 Aug 1990.