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String field theory, BV quantization, and moduli spaces: May 20 – 24, 2019

Organized by Kenji Fukaya, Owen Gwilliam, Stephan Stolz, Peter Teichner, and Mahmoud Zeinalian.

ScheduleDanfords ShuttleHoliday Inn ShuttleAttendee ListView Videos

The main aim of this workshop is to strengthen the dialogue between string field theory and quantum field theory, via the shared language of the BV formalism. The BV formalism plays an increasingly important role in the mathematical treatment of QFT, as showcased by the recent work of Cattaneo-Mnev-Reshetikhin and Costello-Gwilliam. There is also an improved understanding of the natural homotopical algebra in topological string theory, as in the work of Cieliebak-Fukaya-Latschev, where BV algebras also play a prominent role.

This dialogue informs, and is informed by, several closely related activities. On the side of topological string theory, there is topological recursion and its recent refinement to geometric recursion. Moreover, Lurie’s proof of the Cobordism Hypothesis in two dimensions clarifies many mathematical aspects of topological string theory. On the side of field theory, recent work on BCOV theory provides a BV perspective on large N limits of gauge theories and its relationship with string field theory. It suggests that methods from higher category theory and higher algebra might apply to large N limits through the medium of factorization algebras. Finally, a new relationship between factorization algebras and functorial field theories offers a perspective on how these developments fit together.

 

Talk Schedule


Time Title Speaker Location
10:00am Symplectic field theory, string topology, and perturbative Chern-Simons theory Kai Cieliebak (I) SCGP 102
11:00am Coffee break N/A SCGP Cafe
11:30am Applications of Homotopy Algebras to (Super) String Field Theory Ivo Sacks SCGP 102
12:30pm Lunch N/A SCGP Cafe
2:00pm Gong Show Gong Show scgp 102
3:30pm Coffee break N/A SCGP Cafe
4:00pm Interplay between ribbon graphs and CohFT Olivia Dumitrescu SCGP 102

Time Title Speaker Location
9:30am Symplectic field theory, string topology, and perturbative Chern-Simons theory Kai Cieliebak (II) SCGP 102
10:30am Coffee break N/A SCGP Cafe
10:45am Noncommutative manifolds and the BV construction: the case of su(n)-matrix models Roberta Iseppi SCGP 102
11:45am Lunch N/A SCGP Cafe
1:00pm SCGP Weekly talk: Owen Gwilliam Weaving higher algebra through strings and fields N/A
2:15pm Gong Show Gong Show scgp102
3:45pm Coffee break N/A SCGP Cafe
4:15pm Two-dimensional BF theory as a conformal field theory Pavel Mnev SCGP 102

Time Title Speaker Location
10:00am Symplectic field theory, string topology, and perturbative Chern-Simons theory Kai Cieliebak (III) SCGP 102
11:00am Coffee break N/A SCGP Cafe
11:30am Geometric recursion and recursion for volumes of moduli spaces Gaetan Borot SCGP 102
12:30pm Lunch N/A SCGP Cafe
2:30pm Categorical Gromov-Witten invariants: a computable definition Andrei Caldararu SCGP 102
3:30pm Coffee break N/A SCGP Cafe
4:00pm The Green-Schwarz mechanism and higher-loop anomaly cancellation in topological string field theory Kevin Costello (I) SCGP 102

Time Title Speaker Location
10:00am The Green-Schwarz mechanism and higher-loop anomaly cancellation in topological string field theory Kevin Costello (II) SCGP 102
11:00am Coffee break N/A SCGP Cafe
11:30am Quantum L_\infty algebras and their realization in closed string field theory Barton Zwiebach SCGP 102
12:30pm Lunch N/A SCGP Cafe
2:30pm The ubiquity of operadic calculus Bruno Vallette SCGP 102
3:30pm Coffee break N/A SCGP Cafe
4:00pm The Tangle Hypothesis Chris Schommer-Pries SCGP 102

Time Title Speaker Location
10:00am BV formalism in causal quantum field theory Kasia Rejzner SCGP 102
11:00am Coffee break N/A SCGP Cafe
11:30am The Green-Schwarz mechanism and higher-loop anomaly cancellation in topological string field theory Kevin Costello (III) SCGP 102
12:30pm Lunch N/A SCGP Cafe


The gong show will be 10 talks that are each about 8 minutes long 7 talks are taking place on Monday, May 20, 2019, 4 talks are taking place on Tuesday, May 21, 2019.  Tentative Schedule:

Gong Show


Time Title Speaker Location
2:00pm 4-manifolds and topological modular forms Peter Teichner SCGP 102
2:10pm A glimpse on (topological) relative/twisted field theories Claudia Scheimbauer SCGP 102
2:20pm The gluing law and symmetries Mykola Dedushenko SCGP 102
2:30pm Factorization algebras on manifolds with boundary Eugene Rabinovich SCGP 102
2:40pm Break N/A SCGP 102
2:50pm Equivariant gerbe connections Corbett Redden SCGP 102
3:00pm Symplectic capacities from filtered BV-infinity algebras Kyler Siegel SCGP 102
3:10pm Supersymmetric Field Theories from Superconnections Bertram Arnold SCGP 102
3:20pm Holomorphic field theories and pure spinors Richard Eager SCGP 102

Time Title Speaker Location
2:15pm Quantum L∞ Algebras and the Homological Perturbation Lemma Brano Jurco SCGP 102
2:25pm Equivariant factorization algebras Laura Wells SCGP 102
2:35pm Computations of the twisted IBL-infinity structure Pavel Hajak SCGP 102
2:45pm Break N/A SCGP 102
2:55pm The Hodge and de Rham Chern Characters of holomorphic connections (w/ Chyene Miller, Micah Miller, and Thomas Tradler Mahmoud Zeinalian SCGP 102
3:05pm A factorization algebra perspective on the Loday-Quillen Tsygan theorem Gregory Ginot  SCGP 102
3:15pm Title: A 5d/4d correspondence via higher Kac-Moody algebras Brian Williams SCGP 102
3:25pm The existence and uniqueness of (super) string vertices. Yehao Zhou SCGP 102
3:35pm TBA TBA SCGP 102
3:45pm TBA TBA SCGP 102