17-21 July 2018
Lecture Hall(1F), Kavli IPMU
Asia/Tokyo timezone

Vertex algebras, factorization algebras and applications

Dates: July 17-July 21, 2018

Venue: Lecture Hall, Kavli IPMU

Vertex algebras are fundamental algebraic structures underlying conformal field theories in two dimensions. With the impetus given by the AGT conjecture, the recent couple of years have seen intense activity relating field theories in 2 and 4 dimensions. In particular, there emerged deep relations between vertex algebras and the geometry of smooth 4-dimensional manifolds. For example, classical constructions related to vertex algebras (such as coset models) obtained a new meaning from the 4-dimensional topology point of view (plumbing, Kirby moves etc.).

At the same time, vertex algebras are particular cases of factorization algebras, a concept that makes sense in any number of dimensions and provides a mathematical descriptions of quantum field theories.. Factorization structures and factorization homology also serve as a mathematical language for a local-to-global “integration” formalism in pure mathematics (Non-abelian Poincar ́e duality, recent work of Gaitsgory-Lurie on geometrization of the Weil conjectures for Tamagawa numbers and others). They have also been  crucial tools in representation theory of affile  Lie algebras and quantum groups.

 The emerging relation of factorization structures in various dimensions is an extremely promising area of development, of importance both in mathematics and physics. The conference aims to bring together experts in these related areas as well as younger researchers from Japan and overseas.

 

Invited Speakers:

Alexander Braverman (Univ. of Toronto, Canada)

Andrew Linshaw (Denver Univ. USA)

Benjamin Hennion (Univ. of Paris-Sud, France)

Boris Feigin (Higher School of Economics, Moscow / Kyoto Univ., Japan)  

David Yang (Harvard Univ., USA) 

Dennis Gaitsgory (Harvard Univ., USA)

Emily Cliff (Univ. of Illinois at Urbana-Champaign, USA)

Eric Vasserot (Univ. of Paris Diderot, France)

John Francis (Northwestern Univ., USA)

Kazuya KawasetsuUniv. of Melbourne, Australia)

Lin Chen (Harvard Univ., USA)

Quoc Ho (Institute of Science and Technology, Austria)

Sam Raskin (Univ. of Texas at Austin, USA)

Sergei Gukov (Caltech U., USA)

Takahiro Nishinaka (Ritsumeikan Univ., Japan)

Thomas Creutzig (Univ. of Alberta, Canada/ Kyoto Univ.)

Tomoyuki Arakawa(RIMS Kyoto Univ., Japan)

Toshiro Kuwabara (Tsukuba Univ., Japan)

Vadim Schechtman (Univ. of Toulouse, France)

Yakov Kremnitzer (Univ. of Oxford, England)

Yifei Zhao (Harvard Univ., USA)

 

 

Organizers:

B. Feigin (HSE Moscow / Kyoto University),
M. Kapranov (Kavli IPMU),
H. Nakajima (RIMS Kyoto University and Kavli IPMU)

 

Contact : seminar@ipmu.jp
Kavli Institute for the Physics and Mathematics of the Universe (Kavli IPMU), the University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa City, Chiba 277-8583, Japan


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