Women at the Intersection of Mathematics and Theoretical Physics

16 talks

February 22, 2021 - February 25, 2021

C21002

Collection Type

Conference/School

Subject

Mathematical physics

Displaying 1 - 12 of 16

Welcome and Opening Remarks
- Bianca Dittrich
  Perimeter Institute for Theoretical Physics
- Theo Johnson-Freyd
  Dalhousie University
- Sylvie Paycha
  University of Potsdam
- Katarzyna Rejzner
  University of York
- Anne Taormina
  Durham University
- Reiko Toriumi
  Okinawa Institute of Science and Technology Graduate University
February 22, 2021

PIRSA:21020026
Mathematical physics
Division algebraic symmetry breaking

Cohl Furey
Humboldt University of Berlin
February 22, 2021

PIRSA:21020027
Mathematical physics
State sum models with defects

Catherine Meusburger
University of Erlangen-Nuremberg
February 22, 2021

PIRSA:21020028
Mathematical physics
Quantum information and black holes

Johanna Erdmenger
University of Würzburg
February 22, 2021

PIRSA:21020029
Mathematical physics
Researcher Presentations
- Karen Yeats
  University of Waterloo
- Sabine Harribey
  Nordic Institute for Theoretical Physics
- Philine van Vliet
  Deutsches Elektronen-Synchrotron DESY
- Maria Elena Tejeda-Yeomans
  University of Colima
- Maryam Khaqan
  Emory University
February 22, 2021

PIRSA:21020035
Mathematical physics
Mathematical Puzzles from Causal Set Quantum Gravity

Sumati Surya
Raman Research Institute
February 23, 2021

PIRSA:21020031
Mathematical physics
On generalized hyperpolygons

Laura Schaposnik
University of Illinois at Chicago
February 23, 2021

PIRSA:21020032
Mathematical physics
Exploring spacetime beyond classicality

Renate Loll
Radboud Universiteit Nijmegen
February 23, 2021

PIRSA:21020036
Mathematical physics
Researcher Presentations
- Astrid Eichhorn
  University of Southern Denmark
- Colleen Delaney
  Indiana University
- Roberta Iseppi
  University of Southern Denmark
- Lisa Glaser
  University of Vienna
- Mahumm Ghaffar
  Memorial University of Newfoundland
- Eilind Karlsson
  Technical University of Munich (TUM)
- Evelyn Yoczira Lira Torres
  Queen Mary - University of London (QMUL)
- Sharmia Gunasekaran
  University of Toronto
February 23, 2021

PIRSA:21020038
Mathematical physics
A gentle introduction to (modular tensor) categories

Ana Ros Camacho
Cardiff University
February 24, 2021

PIRSA:21020039
Mathematical physics
Conformal correlators and AdS2/CFT1

Valentina Forini
University of London
February 24, 2021

PIRSA:21020040
Mathematical physics
From gauge fields to direct connections on gauge groupoids

Alessandra Frabetti
Université Claude Bernard Lyon 1 - Institut Camille Jordan
February 24, 2021

PIRSA:21020041
Mathematical physics

Welcome and Opening Remarks
- Bianca Dittrich
  Perimeter Institute for Theoretical Physics
- Theo Johnson-Freyd
  Dalhousie University
- Sylvie Paycha
  University of Potsdam
- Katarzyna Rejzner
  University of York
- Anne Taormina
  Durham University
- Reiko Toriumi
  Okinawa Institute of Science and Technology Graduate University
February 22, 2021

PIRSA:21020026
Mathematical physics
Division algebraic symmetry breaking

Cohl Furey
Humboldt University of Berlin
February 22, 2021

PIRSA:21020027
Mathematical physics
Can the 32C-dimensional algebra RCHO offer anything new for particle physics? Indeed it can. Here we identify a sequence of complex structures within RCHO which sets in motion a cascade of breaking symmetries: Spin(10) -> Pati-Salam -> Left-Right symmetric -> Standard model + B-L (both pre- and post-Higgs-mechanism). These complex structures derive from the octonions, then from the quaternions, then from the complex numbers. It should be noted that this pattern would not have been obvious within the standard formalism.
State sum models with defects

Catherine Meusburger
University of Erlangen-Nuremberg
February 22, 2021

PIRSA:21020028
Mathematical physics
"We explain how to construct a Turaev-Viro state sum model with defect planes, defect lines and defect points. This is work in progress with John Barrett."
Quantum information and black holes

Johanna Erdmenger
University of Würzburg
February 22, 2021

PIRSA:21020029
Mathematical physics
The concepts of quantum information theory play an important role in two seemingly distinct areas of physics: For studying the quantum properties of black holes as well as for devising quantum computing algorithms. Quantum entanglement and computational complexity may be mapped to geometric quantities. This is intimately related to the holographic principle, according to which the information stored in a volume is encoded on its surface, as is the case for black holes. In the talk I will describe the essential new concepts that relate quantum information to geometry and gravity. Technically, this involves generalising quantum information results to quantum field theories, i.e. from finite to infinite-dimensional Hilbert spaces. I will explain how the new relations may be used to obtain both a further understanding of quantum black holes, as well as further advances for the theoretical foundations of quantum computing.
Researcher Presentations
- Karen Yeats
  University of Waterloo
- Sabine Harribey
  Nordic Institute for Theoretical Physics
- Philine van Vliet
  Deutsches Elektronen-Synchrotron DESY
- Maria Elena Tejeda-Yeomans
  University of Colima
- Maryam Khaqan
  Emory University
February 22, 2021

PIRSA:21020035
Mathematical physics
Mathematical Puzzles from Causal Set Quantum Gravity

Sumati Surya
Raman Research Institute
February 23, 2021

PIRSA:21020031
Mathematical physics
I will discuss some of the mathematical puzzles that arise from the causal set approach to quantum gravity. In this approach, any causal continuum spacetime is said to be emergent from an underlying ensemble of locally finite posets which represents a discretisation of the causal structure. If the discrete substructure is to capture continuum geometry to sufficient accuracy, then it must be "approximately" close to it. How can we quantify this closeness? This discreteness, while also preserving local Lorentz invariance, leads to a fundamental non-locality. This is not only an obstacle to a “traditional” initial value formulation, but also to the geometric interpretation of entanglement entropy. Is there an analytic way to quantify the remanent Planckian non-locality? These questions, as well as others arising from the quantum dynamics of causal, may be of potential interest to mathematicians, in particular Geometers and Combinatorists.
On generalized hyperpolygons

Laura Schaposnik
University of Illinois at Chicago
February 23, 2021

PIRSA:21020032
Mathematical physics
In this talk we will introduce generalized hyperpolygons, which arise as Nakajima-type representations of a comet-shaped quiver, following recent work joint with Steven Rayan. After showing how to identify these representations with pairs of polygons, we shall associate to the data an explicit meromorphic Higgs bundle on a genus-g Riemann surface, where g is the number of loops in the comet. We shall see that, under certain assumptions on flag types, the moduli space of generalized hyperpolygons admits the structure of a completely integrable Hamiltonian system.
Exploring spacetime beyond classicality

Renate Loll
Radboud Universiteit Nijmegen
February 23, 2021

PIRSA:21020036
Mathematical physics
The physics of General Relativity is deeply intertwined with the mathematics of Lorentzian differentiable manifolds. The latter provide excellent models of spacetime across a vast range of physical scales, encoding gravitational interactions into the curvature properties of smooth metric spaces. However, describing geometry in terms of the infinitesimal line element "ds" does not seem appropriate in the quantum regime near the Planck scale. -- Coming from different perspectives, geometers, classical relativists and quantum gravity researchers are actively investigating more general geometric settings, abandoning smoothness or even continuity of the metric space. The crucial question is what aspects of standard (pseudo-)Riemannian geometry survive, and what this tells us about the "essence" of curvature and geometry and about the ultimate nature of physical spacetime. Can we learn from each others' insights?
Researcher Presentations
- Astrid Eichhorn
  University of Southern Denmark
- Colleen Delaney
  Indiana University
- Roberta Iseppi
  University of Southern Denmark
- Lisa Glaser
  University of Vienna
- Mahumm Ghaffar
  Memorial University of Newfoundland
- Eilind Karlsson
  Technical University of Munich (TUM)
- Evelyn Yoczira Lira Torres
  Queen Mary - University of London (QMUL)
- Sharmia Gunasekaran
  University of Toronto
February 23, 2021

PIRSA:21020038
Mathematical physics
A gentle introduction to (modular tensor) categories

Ana Ros Camacho
Cardiff University
February 24, 2021

PIRSA:21020039
Mathematical physics
In this talk we will introduce categories, a notion that packages mathematical objects of any kind and provides an abstract language to study them. We will build up our way towards so-called modular tensor categories, which roughly speaking are categories with a tensor product, duals, and quite a bit of extra categorical structure. They arise in (rational) conformal field theory and its study poses many interesting questions on their classification, internal structure and generalizations. I will give an overview of these questions and some current lines of research in this topic.
Conformal correlators and AdS2/CFT1

Valentina Forini
University of London
February 24, 2021

PIRSA:21020040
Mathematical physics
From gauge fields to direct connections on gauge groupoids

Alessandra Frabetti
Université Claude Bernard Lyon 1 - Institut Camille Jordan
February 24, 2021

PIRSA:21020041
Mathematical physics
"Geometrically, a gauge theory consists of a spinor bundle describing the matter fields, associated to some principal bundle whose gauge group rules the internal symmetries of the system. The gauge fields are the local expressions of a principal connection inducing a covariant derivative which settles the dynamics of the matter fields. Principal connections can be seen as parallel displacements on the fibres of the principal bundle along curves on the base manifold. In this talk I shortly present a generalisation of gauge fields given by direct connections on gauge groupoids, based on a work in progress with S. Azzali, Y. Boutaib, A. Garmendia and S. Paycha."

Title	Speaker(s)	Date	Talk Type	Info
Welcome and Opening Remarks	Bianca Dittrich, Theo Johnson-Freyd, Sylvie Paycha, Katarzyna Rejzner, Anne Taormina, Reiko Toriumi	2021-02-22	Conference	View details
Division algebraic symmetry breaking	Cohl Furey	2021-02-22	Conference	View details
State sum models with defects	Catherine Meusburger	2021-02-22	Conference	View details
Quantum information and black holes	Johanna Erdmenger	2021-02-22	Conference	View details
Researcher Presentations	Karen Yeats, Sabine Harribey, Philine van Vliet, Maria Elena Tejeda-Yeomans, Maryam Khaqan	2021-02-22	Conference	View details
Mathematical Puzzles from Causal Set Quantum Gravity	Sumati Surya	2021-02-23	Conference	View details
On generalized hyperpolygons	Laura Schaposnik	2021-02-23	Conference	View details
Exploring spacetime beyond classicality	Renate Loll	2021-02-23	Conference	View details
Researcher Presentations	Astrid Eichhorn, Colleen Delaney, Roberta Iseppi, Lisa Glaser, Mahumm Ghaffar, Eilind Karlsson, Evelyn Yoczira Lira Torres, Sharmia Gunasekaran	2021-02-23	Conference	View details
A gentle introduction to (modular tensor) categories	Ana Ros Camacho	2021-02-24	Conference	View details
Conformal correlators and AdS2/CFT1	Valentina Forini	2021-02-24	Conference	View details
From gauge fields to direct connections on gauge groupoids	Alessandra Frabetti	2021-02-24	Conference	View details

Women at the Intersection of Mathematics and Theoretical Physics

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