seminar at Sissa

[Emanuele Tuillier Illingworth]

PLEASE NOTE THAT PROF. ALEXANDER CHERVOV IS HOLDING TWO SEMINARS AT SISSA.
THESE TALKS HAVE THE SAME TITLE, BUT THE FIRST ONE IS PLANNED TO BE MORE
RELEVANT FOR PHYSICIST AUDIENCE AND THE SECOND FOR MATHEMATICIANS.


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GEOMETRY AND PHYSIC SEMINARS 2006/07
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SEMINAR ON:
"Geometric Langlands correspondence and integrable systems"


Abstract: We will give a very brief introduction to the geometric Langlands
correspondence and its origins. Then we will present a new explicit
construction of the geometric Langlands correspondence. Moreover we will
argue that the correspondence can be generalized to the wide class of
integrable systems. We will present a new description of Hitchin's
integrable sytem and obtain its quantization simultaneously with the
Langlands correspondence, (with the help of the "universal GLn-oper=quantum
spectral curve"). The necessary ideas from the theory of integrable systems
(Lax operators, spectral curves,...) will be recalled. If time permits the
relation with the quantization of Lagrangian submanifolds,
Knizhnik-Zamolodchikov equation, attempts of higher dimensional
generalization of the Langlands correspondence. The talk will be partly
based on the papers hep-th/0604128, hep-th/0607250, etc. of D. Talalaev and
the reporter.





Prof. Alexander CHERVOV
ITEP, Moscow






Thu. 28 September 2006 @ 14.30
SISSA - Main Building - lower ground floor - room D

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**********************************************************
MATHEMATICAL PHYSICS SECTOR ACTIVITIES
**********************************************************


SEMINAR ON:
"Geometric Langlands correspondence and integrable systems"

Prof. Alexander CHERVOV
ITEP - Moscow


Abstract: We will give a very brief introduction to the geometric Langlands
correspondence and its origins. Then we will present a new explicit
construction of the geometric Langlands correspondence. Moreover we will
argue that the correspondence can be generalized to the wide class of
integrable systems. We will present a new description of Hitchin's
integrable sytem and obtain its quantization simultaneously with the
Langlands correspondence, (with the help of the "universal GLn-oper=quantum
spectral curve"). The necessary ideas from the theory of integrable systems
(Lax operators, spectral curves,...) will be recalled. If time permits the
relation with the quantization of Lagrangian submanifolds,
Knizhnik-Zamolodchikov equation, attempts of higher dimensional
generalization of the Langlands correspondence. The talk will be partly
based on the papers hep-th/0604128, hep-th/0607250, etc. of D. Talalaev and
the reporter.


Fri. 29 September 2006 @ 16.00

SISSA - Main Building - lower ground floor - room C