Format results

Talk

Formal derived stack and Formal localization
Michel Vaquie Laboratoire de Physique Théorique, IRSAMC, Université Paul Sabatier

An overview of derived analytic geometry
Mauro Porta Institut de Mathématiques de Jussieu

Categorification of shifted symplectic geometry using perverse sheaves
Dominic Joyce University of Oxford

Shifted structures and quantization
Tony Pantev University of Pennsylvania

What is the Todd class of an orbifold?
Andrei Caldararu University of Wisconsin–Madison

Singular support of categories
Dima Arinkin University of WisconsinMilwaukee

Symplectic and Lagrangian structures on mapping stacks
Theodore Spaide Universität Wien

The Maslov cycle and the Jhomomorphism
David Treumann Boston College


Talk

Welcome to “Mathematica Summer School”
Pedro Vieira Perimeter Institute for Theoretical Physics

Mathematica School Lecture  2015
Horacio Casini Bariloche Atomic Centre

Quantum mechanics in the early universe
Juan Maldacena Institute for Advanced Study (IAS)  School of Natural Sciences (SNS)


Ground state entanglement and tensor networks
Guifre Vidal Alphabet (United States)

Quantum mechanics in the early universe
Juan Maldacena Institute for Advanced Study (IAS)  School of Natural Sciences (SNS)

Mathematica School Lecture  2015
Pedro Vieira Perimeter Institute for Theoretical Physics

Holographic entanglement entropy
Robert Myers Perimeter Institute for Theoretical Physics



Lecture  Classical Physics, PHYS 776
Aldo Riello Perimeter Institute for Theoretical Physics



A new tangential structure for type IIA string theory
Matthew Yu University of Oxford


Production of Solar Scalars
Anne Davis University of Cambridge

Probing quantum gravity at all scales
Astrid Eichhorn University of Southern Denmark

Simulating a Quantised Black Hole
Ruth Gregory King's College London

Town Hall  Fundamental aspects of Modified gravity
Adam Solomon, Andrew Tolley, Astrid Eichhorn, Sergey Sibiryakov

Deformation Quantization of Shifted Poisson Structures
Deformation Quantization of Shifted Poisson Structures


Nonvanishing of quantum geometric Whittaker coefficients
We will discuss the functor of geometric Whittaker coefficients in the context of quantum geometric Langlands. We will prove that tempered twisted Dmodules on the stack of Gbundles on a smooth projective curve have nonvanishing Whittaker coefficients. Roughly, this means that a certain natural subcategory of twisted Dmodules on the stack of Gbundles can be controlled by the category of twisted Dmodules on the BeilinsonDrinfeld affine Grassmannian. The proof will combine generalizations of representationtheoretic and microlocal methods from the preceding works of FaergemanRaskin and NadlerTaylor respectively.

Lecture  Classical Physics, PHYS 776
Aldo Riello Perimeter Institute for Theoretical Physics

The spinstatistics theorem for TFTs
Luuk StehouwerIn quantum field theory (QFT) the spinstatistics theorem says that in a unitary QFT, a particle has halfinteger spin if and only if it is a fermion. I show how to phrase this statement in the language of functorial field theories. More precisely, I explain when a functorial field theory "has fermions" and "has spinors" and when they are "related". I will then restrict to topological field theories (TFTs) and define unitary TFTs. There are counterexamples of the spinstatistics theorem for nonunitary TFTs. I will prove that every unitary TFT satisfies the spinstatistics theorem.

Categories of line defects and cohomological Hall algebras
BPS line defects in 4d N=2 supersymmetric QFT are described by a monoidal category with a list of desired properties. For example, the Grothendieck group of this category is supposed to coincide with quantization of functions on Coulomb branch of the theory compactified on a circle. Based on an observation, that at a given vacuum the spectrum of PBS particles can be quipped with an algebra structure – cohomological Hall algebra of the corresponding BPS quiver – we propose a category generated by certain bimodules over this algebra that possesses expected properties of the category of lines. Based on a joint work with Davide Gaiotto and Wei Li.

A new tangential structure for type IIA string theory
Matthew Yu University of Oxford
The GreenSchwarz anomaly cancellation condition says that the target space of heterotic string theory must come with a string structure for the theory to be consistent. In this talk we discuss a new tangential structure called string^h, first introduced by Devalapurkar, as a spin^c analogue of string. We will show that the spectrum of string^h has the notable property that it orients tmf_1(n), just like how the spectrum of string orients tmf, by the work of AndoHopkinsRezk. Finally we will show that the anomaly of the partition function of type IIA, studied by DiaconescuMooreWitten induces a string^h structure on the target space of type IIA, in parallel to the GreenSchwarz anomaly for heterotic string theory, and discuss applications for anomaly cancellation. This is joint work in progress with Arun Debray.


Production of Solar Scalars
Anne Davis University of Cambridge
I will first introduce screened modified gravity theories and then discuss the chameleon mechanism. Light scalars can be produced from the sun and detected on earth. I will discuss the production of chameleons, including novel production channels, and discuss potential detection in helioscopes. 
Probing quantum gravity at all scales
Astrid Eichhorn University of Southern Denmark

Simulating a Quantised Black Hole
Ruth Gregory King's College London

Town Hall  Fundamental aspects of Modified gravity
Adam Solomon, Andrew Tolley, Astrid Eichhorn, Sergey SibiryakovLead: Jerome Quintin