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SUMMARY:School and Workshop on Gauge Theories and Differential Invariants
| (smr 3326)
DTSTART;VALUE=DATE-TIME:20190930T060000Z
DTEND;VALUE=DATE-TIME:20191011T200000Z
DTSTAMP;VALUE=DATE-TIME:20191016T051652Z
UID:indico-event-8723@ictp.it
DESCRIPTION:\n The main focus is on recent developments in gauge theories\
, both in theoretical physics and in mathematics. This area is very fruitf
ul for active interplays between Mathematics and Physics.\n In theoretical
physics exact results in supersymmetric quantum field theories and supe
rstrings on curved backgrounds prompted the interest in explicit calculati
ons of (equivariant) Donaldson invariants also in higher rank and the poss
ible definition of new invariants for four manifolds using non-Lagrangian
theories. On the mathematical side\, new results have been obtained for hi
gher rank Donaldson invariants and Vafa-Witten invariants. A key role is
played by the interplay of with representation theory and quantum integra
ble systems. These developments are also expected to have impact on enumer
ative geometry\, knot theory and representation theory of infinite dimensi
onal algebras. A key technical tool in these developments is equivariant l
ocalization which allows the extraction of exact results.\n\n Topics :\n\n
higher rank Donaldson invariants\n \n Vafa-Witten invariants\n \n Dona
ldson-Thomas invariants\n \n study of the BPS spectra of (non Lagrangean)
N=2 Gauge Theories and new four-dimensional invariants\n \n relation t
o matrix models and topological strings\n \n quantum Hitchin systems a
nd character varieties\n \n gauge theories on complex toric surfaces and
their instanton moduli spaces\n \n surface operators in gauge theory and
moduli spaces of principal bundles with parabolic structure\n \n quantu
m cohomology of the instanton moduli space\n \n K-theory of quiver variet
es\n \n quantum integrability\, quantum Yang-Baxter equations\n \n rela
tions to knot theory and Khovanov Homology\n \n higher dimensional supers
ymmetric gauge theories and M-theory\nLecturers:\nL. GÖTTSCHE\, ICTP\nG.
MOORE\, Rudgers (tbc)\nH. NAKAJIMA\, Kavli IPMU\nN. NEKRASOV\, Simons Cen
ter\nP. PUTROV\, ICTPSpeakers include:\nA. DAEMI\, Simons Center\nA. GOLAM
POUR\, University of Maryland\nS. GUKOV\, Caltech\nS. JEONG\, Stony Brook\
nA. KLEMM\, Universität Bonn\nM. KOOL\, Utrecht University\nJ. MANSCHOT\,
Trinity College Dublin\nA. MELLIT\, Universität Wien\nD. OPREA\, Univers
ity of California\, San Diego\nD. PEI\, Caltech\nZ. RUIDONG\, Tokyo Univer
sity\nA. SHESHMANI\, Harvard University\nY. TANAKA\, Oxford University\nK.
YOSHIOKA\, Kobe Unversity\n\nhttp://indico.ictp.it/event/8723/
LOCATION:ICTP Kastler Lecture Hall (AGH)
URL:http://indico.ictp.it/event/8723/
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