Description |
The main focus is on recent developments in gauge theories, both in theoretical physics and in mathematics. This area is very fruitful for active interplays between Mathematics and Physics.
In theoretical physics exact results in supersymmetric quantum field theories and superstrings on curved backgrounds prompted the interest in explicit calculations of (equivariant) Donaldson invariants also in higher rank and the possible definition of new invariants for four manifolds using non-Lagrangian theories. On the mathematical side, new results have been obtained for higher rank Donaldson invariants and Vafa-Witten invariants. A key role is played by the interplay of with representation theory and quantum integrable systems. These developments are also expected to have impact on enumerative geometry, knot theory and representation theory of infinite dimensional algebras. A key technical tool in these developments is equivariant localization which allows the extraction of exact results. Topics :
Lecturers: L. GÖTTSCHE, ICTP G. MOORE, Rudgers (tbc) H. NAKAJIMA, Kavli IPMU N. NEKRASOV, Simons Center P. PUTROV, ICTP Speakers include: A. DAEMI, Simons Center A. GOLAMPOUR, University of Maryland S. GUKOV, Caltech S. JEONG, Stony Brook A. KLEMM, Universität Bonn M. KOOL, Utrecht University J. MANSCHOT, Trinity College Dublin A. MELLIT, Universität Wien D. OPREA, University of California, San Diego D. PEI, Caltech Z. RUIDONG, Tokyo University A. SHESHMANI, Harvard University Y. TANAKA, Oxford University K. YOSHIOKA, Kobe Unversity |
Location: | Adriatico Guest House - Kastler Lecture Hall |
Speaker: | Hiraku NAKAJIMA (University of Tokyo, Kavli Institute for the Physics and Mathematics of the Universe) |
Material: | Abstract |
Speaker: | Pavel PUTROV (ICTP) |
Material: | Abstract |
Speaker: | Lothar GOETTSCHE (ICTP) |
Material: | Abstract Notes |
Speaker: | Andrea BRINI (University of Birmingham) |
Material: | Abstract |
Location: | Adriatico Guest House - Kastler Lecture Hall |
Speaker: | Hiraku NAKAJIMA (University of Tokyo, Kavli Institute for the Physics and Mathematics of the Universe) |
Material: | Abstract |
Speaker: | Noah ARBESFELD (Imperial College London) |
Material: | Abstract |
Speaker: | Lothar GOETTSCHE (ICTP) |
Material: | Abstract Notes |
Speaker: | Jan MANSCHOT (Trinity College Dublin) |
Location: | Adriatico Guest House - Kastler Lecture Hall |
Speaker: | Hiraku NAKAJIMA (University of Tokyo, Kavli Institute for the Physics and Mathematics of the Universe) |
Material: | Abstract |
Speaker: | Jan MANSCHOT (Trinity College Dublin) |
Speaker: | Lothar GOETTSCHE (ICTP) |
Material: | Abstract Notes |
Speaker: | Pavel PUTROV (ICTP) |
Material: | Abstract |
Location: | Adriatico Guest House - Kastler Lecture Hall |
Speaker: | Anton MELLIT (University of Wien) |
Material: | Abstract Notes |
Speaker: | Pavel PUTROV (ICTP) |
Material: | Abstract |
Speaker: | Lothar GOETTSCHE (ICTP) |
Material: | Abstract |
Speaker: | Du PEI (Institute for theoretical Physics, California Institute of Technology) |
Material: | Abstract |
Location: | Adriatico Guest House - Kastler Lecture Hall |
Speaker: | Du PEI (Institute for theoretical Physics, California Institute of Technology) |
Material: | Abstract |
Speaker: | Sergei GUKOV (California Institute for Technology) |
Material: | Abstract Link |
Speaker: | Sergei GUKOV (California Institute for Technology) |
Material: | Abstract Link |
Speaker: | Pavel PUTROV (ICTP) |
Material: | Abstract |
Location: | Adriatico Guest House - Kastler Lecture Hall |
Speaker: | Albrecht KLEMM (University of Bonn) |
Material: | Abstract |
Speaker: | Artan SHESHMANI (Harvard University) |
Material: | Abstract |
Speaker: | Amihay HANANY (Imperial College London) |
Speaker: | Martijn KOOL (Utrecht University) |
Material: | Abstract |
Speaker: | Ruidong ZHU (Department of Physics, The University of Tokyo) |
Material: | Abstract |
Location: | Adriatico Guest House - Kastler Lecture Hall |
Speaker: | Pieter Ties Allerd LAARAKKER (Utrecht University) |
Material: | Abstract |
Speaker: | Nikita NEKRASOV (Simons Center for Geometry and Physics) |
Material: | Abstract |
Speaker: | Nadir FASOLA (SISSA) |
Material: | Abstract |
Speaker: | Kota YOSHIOKA (Kobe University) |
Material: | Abstract |
Location: | Adriatico Guest House - Kastler Lecture Hall |
Speaker: | Dragos OPREA (University of California at San Diego) |
Material: | Abstract |
Speaker: | Nikita NEKRASOV (Simons Center for Geometry and Physics) |
Speaker: | Maxim ZABZINE (Uppsala University) |
Material: | Abstract |
Speaker: | Meng-Chwan TAN (NUS) |
Material: | Abstract Slides |
Location: | Adriatico Guest House - Kastler Lecture Hall |
Speaker: | Aliakbar DAEMI (Simons Center for Geometry and Physics) |
Speaker: | Yuuji TANAKA |
Material: | Abstract |
Speaker: | Saebyeok JEONG (Stony Brook University) |
Speaker: | Cristina MANOLACHE (Imperial College London) |
Material: | Abstract |
Speaker: | Jie GU (University of Geneva) |
Material: | Abstract |
Speaker: | Alina MARIAN (Northeastern University) |
Material: | Slides |
Speaker: | Can KOZCAZ (Bogazici University Turkey) |
Material: | Abstract |
Speaker: | Don ZAGIER (Max-Planck-Institut for Mathematics) |