Talks

9697 - 9708 of 20132 Results

Derived coisotropic structures

Pavel Safronov University of Zurich

April 22, 2016

PIRSA:16040086

Mathematical Physics
TBA

John Barrett University of Nottingham

April 22, 2016

PIRSA:16040064

General Relativity & Quantum Cosmology
PSI 2015/2016 - Explorations in Cosmology - Lecture 10

Kendrick Smith Perimeter Institute for Theoretical Physics

April 22, 2016

PIRSA:16040044
AKSZ quantization of shifted Poisson structures

Nick Rozenblyum University of Chicago

April 22, 2016

PIRSA:16040085

Mathematical Physics
PSI 2015/2016 - Explorations in Particle Theory - Lecture 10

Cliff Burgess McMaster University

April 22, 2016

PIRSA:16040029
Spin and evolution in geometric models of matter

Bernd Schroers Heriot-Watt University

April 21, 2016

PIRSA:16040063

General Relativity & Quantum Cosmology
Formal loop spaces

Benjamin Hennion Max Planck Institute for Gravitational Physics - Albert Einstein Institute (AEI)

April 21, 2016

PIRSA:16040084

Mathematical Physics
Free linear BV-quantization as an infinity-functor

Rune Haugseng Max Planck Institute for Gravitational Physics - Albert Einstein Institute (AEI)

April 21, 2016

PIRSA:16040083

Mathematical Physics
PSI 2015/2016 - Explorations in Cosmology - Lecture 9

Kendrick Smith Perimeter Institute for Theoretical Physics

April 21, 2016

PIRSA:16040043
On the stable homotopy theory of stacks and elliptic cohomology

David Gepner Purdue University

April 21, 2016

PIRSA:16040082

Mathematical Physics
PSI 2015/2016 - Explorations in Particle Theory - Lecture 9

Cliff Burgess McMaster University

April 21, 2016

PIRSA:16040028
Derived symplectic geometry and classical Chern-Simons theory

Damien Calaque University of Montpellier

April 20, 2016

PIRSA:16040081

Mathematical Physics

Derived coisotropic structures

Pavel Safronov University of Zurich

April 22, 2016

PIRSA:16040086

Mathematical Physics

I will define coisotropic structures in the setting of shifted Poisson geometry in two ways and show their equivalence. The interplay between the definitions allows one to produce nontrivial statements. I will also describe some examples of coisotropic structures. This is a report on joint work with V. Melani.
TBA

John Barrett University of Nottingham

April 22, 2016

PIRSA:16040064

General Relativity & Quantum Cosmology
PSI 2015/2016 - Explorations in Cosmology - Lecture 10

Kendrick Smith Perimeter Institute for Theoretical Physics

April 22, 2016

PIRSA:16040044
AKSZ quantization of shifted Poisson structures

Nick Rozenblyum University of Chicago

April 22, 2016

PIRSA:16040085

Mathematical Physics

One of the key constructions in the PTVV theory of shifted symplectic structures is the construction, via transgression, of a shifted symplectic structure on the derived mapping stack from an oriented manifold to a shifted symplectic stack vastly generalizing the AKSZ construction (which was formulated in the context of super manifolds). I will explain local-to-global approach to this construction, which also generalizes the construction to shifted Poisson structures and shows that the AKSZ/PTVV construction is compatible with quantization in a strong sense. One pleasant consequence is that every deformation quantization problem reduces to a version of BV-quantization. Time permitting, I will describe several geometric applications of the theory.
PSI 2015/2016 - Explorations in Particle Theory - Lecture 10

Cliff Burgess McMaster University

April 22, 2016

PIRSA:16040029
Spin and evolution in geometric models of matter

Bernd Schroers Heriot-Watt University

April 21, 2016

PIRSA:16040063

General Relativity & Quantum Cosmology

In the geometric models of matter, proposed in a joint paper with Michael Atiyah and Nick Manton, static particles like the electron or proton are modelled by Riemannian 4-manifolds. In this talk I will explain how the spin degrees of freedom appear in the geometric framework. I will also discuss a proposal for time evolution in one particular model, namely the Taub-NUT model of the electron.

In the geometric models of matter, proposed in a joint paper with Michael Atiyah and Nick Manton, static particles like the electron or proton are modelled by Riemannian 4-manifolds. In this talk I will explain how the spin degrees of freedom appear in the geometric framework. I will also discuss a proposal for time evolution in one particular model, namely the Taub-NUT model of the electron.
Formal loop spaces

Benjamin Hennion Max Planck Institute for Gravitational Physics - Albert Einstein Institute (AEI)

April 21, 2016

PIRSA:16040084

Mathematical Physics

Formal loop spaces are algebraic analogs to smooth loops. They were introduced and studied extensively in the 2000' by Kapranov and Vasserot for their link to chiral algebras. In this talk, we will introduced higher dimensional analogs of K. and V. formal loop spaces. We will show how derived methods allow such a definition. We will then study their tangent complexes: even though formal loop spaces are "of infinite dimension", their tangent has enough structure so that we can speak of symplectic forms on them.
Free linear BV-quantization as an infinity-functor

Rune Haugseng Max Planck Institute for Gravitational Physics - Albert Einstein Institute (AEI)

April 21, 2016

PIRSA:16040083

Mathematical Physics

I will describe a functorial construction of the free BV-quantization of chain complexes equipped with antisymmetric forms of degree 1 in the context of infinity-categories. This is joint work with Owen Gwilliam.
PSI 2015/2016 - Explorations in Cosmology - Lecture 9

Kendrick Smith Perimeter Institute for Theoretical Physics

April 21, 2016

PIRSA:16040043
On the stable homotopy theory of stacks and elliptic cohomology

David Gepner Purdue University

April 21, 2016

PIRSA:16040082

Mathematical Physics

In this talk, we'll discuss what it means to be a cohomology theory for topological stacks, using a notion of local symmetric monoidal inversion of objects in families. While the general setup is abstract, it specializes to many cases of interest, including Schwede's global spectra. We will then go on to discuss various examples with particular emphasis on elliptic cohomology. It turns out that TMF sees more objects as dualizable (or even invertible) than one might naively expect.
PSI 2015/2016 - Explorations in Particle Theory - Lecture 9

Cliff Burgess McMaster University

April 21, 2016

PIRSA:16040028
Derived symplectic geometry and classical Chern-Simons theory

Damien Calaque University of Montpellier

April 20, 2016

PIRSA:16040081

Mathematical Physics

In this talk we will review various point-of-views on classical Chern-Simons theory and moduli of flat connections. We will explain how derived symplectic geomletry (after Pantev-Toën-Vaquié-Vezzosi) somehow reconciles all of these. If time permits, we will discuss a bit the quantization problem.

Title	Date	Collection	Type	Info
Derived coisotropic structures	2016‑04‑22	Deformation Quantization of Shifted Poisson Structures	Conference	View details
TBA	2016‑04‑22	Quantum Gravity	Scientific Series	View details
PSI 2015/2016 - Explorations in Cosmology - Lecture 10	2016‑04‑22	PSI 2015/2016 - Explorations in Cosmology (Smith)	Course	View details
AKSZ quantization of shifted Poisson structures	2016‑04‑22	Deformation Quantization of Shifted Poisson Structures	Conference	View details
PSI 2015/2016 - Explorations in Particle Theory - Lecture 10	2016‑04‑22	PSI 2015/2016 - Explorations in Particle Theory (Burgess)	Course	View details
Spin and evolution in geometric models of matter	2016‑04‑21	Quantum Gravity	Scientific Series	View details
Formal loop spaces	2016‑04‑21	Deformation Quantization of Shifted Poisson Structures	Conference	View details
Free linear BV-quantization as an infinity-functor	2016‑04‑21	Deformation Quantization of Shifted Poisson Structures	Conference	View details
PSI 2015/2016 - Explorations in Cosmology - Lecture 9	2016‑04‑21	PSI 2015/2016 - Explorations in Cosmology (Smith)	Course	View details
On the stable homotopy theory of stacks and elliptic cohomology	2016‑04‑21	Deformation Quantization of Shifted Poisson Structures	Conference	View details
PSI 2015/2016 - Explorations in Particle Theory - Lecture 9	2016‑04‑21	PSI 2015/2016 - Explorations in Particle Theory (Burgess)	Course	View details
Derived symplectic geometry and classical Chern-Simons theory	2016‑04‑20	Deformation Quantization of Shifted Poisson Structures	Conference	View details

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Format results

Derived coisotropic structures

TBA

PSI 2015/2016 - Explorations in Cosmology - Lecture 10

AKSZ quantization of shifted Poisson structures

PSI 2015/2016 - Explorations in Particle Theory - Lecture 10

Spin and evolution in geometric models of matter

Formal loop spaces

Free linear BV-quantization as an infinity-functor

PSI 2015/2016 - Explorations in Cosmology - Lecture 9

On the stable homotopy theory of stacks and elliptic cohomology

PSI 2015/2016 - Explorations in Particle Theory - Lecture 9

Derived symplectic geometry and classical Chern-Simons theory

Derived coisotropic structures

TBA

PSI 2015/2016 - Explorations in Cosmology - Lecture 10

AKSZ quantization of shifted Poisson structures

PSI 2015/2016 - Explorations in Particle Theory - Lecture 10

Spin and evolution in geometric models of matter

Formal loop spaces

Free linear BV-quantization as an infinity-functor

PSI 2015/2016 - Explorations in Cosmology - Lecture 9

On the stable homotopy theory of stacks and elliptic cohomology

PSI 2015/2016 - Explorations in Particle Theory - Lecture 9

Derived symplectic geometry and classical Chern-Simons theory