Mathematical Physics

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Gong Show - Part 1
August 14, 2018

PIRSA:18080049
Mathematical Physics
Vertex models and En-algebras

Damien Calaque University of Montpellier
August 14, 2018

PIRSA:18080075
Mathematical Physics
The Duistermaat–Heckman distribution for the based loop group

Lisa Jeffrey University of Toronto
August 14, 2018

PIRSA:18080056
Mathematical Physics
Moduli of connexions on open varieties

Bertrand Toen Paul Sabatier University
August 14, 2018

PIRSA:18080080
Mathematical Physics
Perturbative Anomalies of the Massless Free Fermion and Formal Moduli Problems

Eugene Rabinovich
August 13, 2018

PIRSA:18080047
Mathematical Physics
The low-energy TQFT of the generalized double semion model

Arun Debray University of Texas - Austin
August 13, 2018

PIRSA:18080046
Mathematical Physics
Cutting and gluing branes

David Nadler University of California, Berkeley
August 13, 2018

PIRSA:18080044
Mathematical Physics
Geometric Langlands: Comparing the views from CFT and TQFT

Joerg Teschner Deutsches Elektronen-Synchrotron DESY
August 13, 2018

PIRSA:18080074
Mathematical Physics
N=1 supersymmetric vertex algebras of small index

Davide Gaiotto Perimeter Institute for Theoretical Physics
August 13, 2018

PIRSA:18080043
Mathematical Physics
Quantized lattices and combinatorics - Zsuzanna Dancso
July 09, 2018

PIRSA:18070043
Mathematical Physics
MPIM/PI teleseminar on categorified knot invariants - 4

Joel Kamnitzer University of Toronto
May 18, 2018

PIRSA:18050055
Mathematical Physics
MPIM/PI teleseminar on categorified knot invariants - Higher structures and 4-manifolds

Sergei Gukov California Institute of Technology (Caltech) - Division of Physics Mathematics & Astronomy
May 18, 2018

PIRSA:18050054
Mathematical Physics

Gong Show - Part 1
August 14, 2018

PIRSA:18080049
Mathematical Physics
Vertex models and En-algebras

Damien Calaque University of Montpellier
August 14, 2018

PIRSA:18080075
Mathematical Physics
I will explain and state a conjecture of Kontsevich, that relates vertex models from statistical mechanics to En-algebras. I will also give the main ingredients of the proof of Kontsevich’s conjecture, which is a joint work in progress with Damien Lejay.
The Duistermaat–Heckman distribution for the based loop group

Lisa Jeffrey University of Toronto
August 14, 2018

PIRSA:18080056
Mathematical Physics
The based loop group is an inﬁnite-dimensional manifold equipped with a Hamiltonian action of a ﬁnite dimensional torus. This was studied by Atiyah and Pressley. We investigate the Duistermaat–Heckman distribution using the theory of hyperfunctions. In applications involving Hamiltonian actions on inﬁnite-dimensional manifolds, this theory is necessary to accommodate the existence of the inﬁnite order diﬀerential operators which aries from the isotropy representation on the tangent spaces to ﬁxed points. (Joint work with James Mracek)
Moduli of connexions on open varieties

Bertrand Toen Paul Sabatier University
August 14, 2018

PIRSA:18080080
Mathematical Physics
This is a joint work with T. Pantev. In this talk, we will discuss moduli of ﬂat bundles on smooth algebraic varieties, with possibly irregular singularities at inﬁnity. For this, we use the notion of “formal boundary”, previously studied by Ben Bassat-Temkin, Eﬁmov and Hennion– Porta–Vezzosi, as well as the moduli of ﬂat bundles at inﬁnity. We prove that the ﬁbers of the restriction map to inﬁnity are representable. We also prove that this restriction map has a canonical Lagrangian structure in the sense of shifted symplectic geometry.
Perturbative Anomalies of the Massless Free Fermion and Formal Moduli Problems

Eugene Rabinovich
August 13, 2018

PIRSA:18080047
Mathematical Physics
It is conventional wisdom among physicists that anomalies of fermionic theories measure an obstruction to the existence of a well-defined (gauge-invariant) partition function. The aim of this talk is to use the formalism of Costello and Gwilliam to show how this wisdom is instantiated for perturbative anomalies of the massless free fermion. We will show how an action of a dg Lie algebra L on the massless free fermion theory gives rise to a line bundle over the formal moduli problem corresponding to L; the anomaly is precisely the failure of this line bundle to be trivial. Our running example will be the axial symmetry of the massless free fermion.
The low-energy TQFT of the generalized double semion model

Arun Debray University of Texas - Austin
August 13, 2018

PIRSA:18080046
Mathematical Physics
The generalized double semion model, introduced by Freedman and Hastings, is a lattice field theory similar to the toric code, with a gapped Hamiltonian whose space of ground states depends on the topology of the ambient manifold. In this talk, I’ll explain how to calculate its low-energy limit, which forms part of a topological field theory, in terms of characteristic classes of the ambient manifold.
Cutting and gluing branes

David Nadler University of California, Berkeley
August 13, 2018

PIRSA:18080044
Mathematical Physics
I’ll discuss some results and expectations about the behavior of branes in Betti geometric Langlands under cutting and gluing Riemann surfaces.
Geometric Langlands: Comparing the views from CFT and TQFT

Joerg Teschner Deutsches Elektronen-Synchrotron DESY
August 13, 2018

PIRSA:18080074
Mathematical Physics
The goal of my talk will be to discuss the relation between two approaches to the geometric Langlands program. The ﬁrst has been proposed by Beilinson and Drinfeld, using ideas and methods from conformal ﬁeld theory (CFT). The second was initiated by Kapustin and Witten based on a topological version of four-dimensional maximally supersymmetric Yang–Mills theory and its reduction to a two-dimensional topological sigma model. After discussing some issues complicating a direct comparison we will formulate a proposal for a precise relation between two main ingredients in the two approaches.
N=1 supersymmetric vertex algebras of small index

Davide Gaiotto Perimeter Institute for Theoretical Physics
August 13, 2018

PIRSA:18080043
Mathematical Physics
I will describe examples of holomorphic N=1 super-symmetric vertex algebras with small (non-zero) values of the elliptic genus. I will speculate on a relation to certain patterns in the theory of topological modular forms.
Quantized lattices and combinatorics - Zsuzanna Dancso
July 09, 2018

PIRSA:18070043
Mathematical Physics
Quantized lattices, or q-lattices, appear naturally through categorification constructions (for example from zigzag-algebras), but they haven't been studied from a lattice theory point of view. After establishing the necessary background, we'll explain the q-versions of various lattice theory concepts illustrated with examples from combinatorics and graph theory, and we'll list a number of open problems.
MPIM/PI teleseminar on categorified knot invariants - 4

Joel Kamnitzer University of Toronto
May 18, 2018

PIRSA:18050055
Mathematical Physics
MPIM/PI teleseminar on categorified knot invariants - Higher structures and 4-manifolds

Sergei Gukov California Institute of Technology (Caltech) - Division of Physics Mathematics & Astronomy
May 18, 2018

PIRSA:18050054
Mathematical Physics
In this talk we will discuss three (intimately related) examples of 4-manifold invariants based on higher structures:
   - VOA[M4] from transgression of EFTs;
   - SW and Donaldson invariants as chiral algebra correlators;
   - Massey triple products from trisections.
These topics are based, respectively, on work with A.Gadde, P.Putrov (and work to appear with B.Feigin); recent paper with M.Dedushenko and P.Putrov; and a solo paper of the speaker.

Title	Speaker(s)	Date	Talk Type	Info link
Gong Show - Part 1		2018-08-14	Conference	View details
Vertex models and En-algebras	Damien Calaque	2018-08-14	Conference	View details
The Duistermaat–Heckman distribution for the based loop group	Lisa Jeffrey	2018-08-14	Conference	View details
Moduli of connexions on open varieties	Bertrand Toen	2018-08-14	Conference	View details
Perturbative Anomalies of the Massless Free Fermion and Formal Moduli Problems	Eugene Rabinovich	2018-08-13	Conference	View details
The low-energy TQFT of the generalized double semion model	Arun Debray	2018-08-13	Conference	View details
Cutting and gluing branes	David Nadler	2018-08-13	Conference	View details
Geometric Langlands: Comparing the views from CFT and TQFT	Joerg Teschner	2018-08-13	Conference	View details
N=1 supersymmetric vertex algebras of small index	Davide Gaiotto	2018-08-13	Conference	View details
Quantized lattices and combinatorics - Zsuzanna Dancso		2018-07-09	Scientific Series	View details
MPIM/PI teleseminar on categorified knot invariants - 4	Joel Kamnitzer	2018-05-18	Scientific Series	View details
MPIM/PI teleseminar on categorified knot invariants - Higher structures and 4-manifolds	Sergei Gukov	2018-05-18	Scientific Series	View details

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Mathematical Physics

Format results

Gong Show - Part 1

Vertex models and En-algebras

The Duistermaat–Heckman distribution for the based loop group

Moduli of connexions on open varieties

Perturbative Anomalies of the Massless Free Fermion and Formal Moduli Problems

The low-energy TQFT of the generalized double semion model

Cutting and gluing branes

Geometric Langlands: Comparing the views from CFT and TQFT

N=1 supersymmetric vertex algebras of small index

Quantized lattices and combinatorics - Zsuzanna Dancso

MPIM/PI teleseminar on categorified knot invariants - 4

MPIM/PI teleseminar on categorified knot invariants - Higher structures and 4-manifolds

Gong Show - Part 1

Vertex models and En-algebras

The Duistermaat–Heckman distribution for the based loop group

Moduli of connexions on open varieties

Perturbative Anomalies of the Massless Free Fermion and Formal Moduli Problems

The low-energy TQFT of the generalized double semion model

Cutting and gluing branes

Geometric Langlands: Comparing the views from CFT and TQFT

N=1 supersymmetric vertex algebras of small index

Quantized lattices and combinatorics - Zsuzanna Dancso

MPIM/PI teleseminar on categorified knot invariants - 4

MPIM/PI teleseminar on categorified knot invariants - Higher structures and 4-manifolds