2023 - T2 - WS1 - GAP XVIII: Homotopy algebras and higher structures

Collection 2023 - T2 - WS1 - GAP XVIII: Homotopy algebras and higher structures

Organizer(s) Cattaneo, Alberto ; Jotz, Madeleine ; Liao, Hsuan-Yi ; Schiavina, Michele ; Stiénon, Mathieu ; Xu, Ping

Date(s) 22/05/2023 - 26/05/2023

linked URL https://indico.math.cnrs.fr/event/7882/

1 16

Braided bimodules, quantum jet bundles and quantum geodesics

By Shahn Majid Majid

We show how solutions of the Yang-Baxter or braid relations on bimodules over a possibly noncommutative algebra arise naturally in the context of bimodule connections in noncommutative geometry. As an application, we show how such connections can be used to define a notion of quantum jet bundle in work with F. Simao. We also show in work with E. Beggs how the same idea applied to A-B bimodule connections lead to a notion of quantum geodesics on A with parameter space algebra B and are already present for A the Heisenberg algebra in quantum mechanics.

Information about the video

Date of recording 23/05/2023
Date of publication 23/05/2023
Institution IHP
Language English
Audience Researchers, Graduate Students
Director(s) Alexandre Duplessis
Format MP4
Venue Amphitheater Hermite, IHP

Domain(s)

Quantum Algebra

MSC codes

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow

All the collection videos

published on May 23, 2023

Braided bimodules, quantum jet bundles and quantum geodesics

By Shahn Majid Majid

published on May 23, 2023

A quadratically enriched zeta function

By Kirsten Wickelgren

01:28:04

published on May 22, 2023

The homomorphism removal and repackaging construction

By Leonid Positselski

01:02:43

published on May 22, 2023

Higher structures and deformations of noncommutative spaces

By Wendy Lowen

01:11:58

published on May 23, 2023

Operads and the blob complex (joint work with M. Batanin)

By Martin Markl

published on May 24, 2023

Graph complexes and moduli spaces of curves

By Thomas Willwacher

published on May 24, 2023

Cohomological Hall algebras associated to curves in surfaces

By Olivier Schiffmann

published on May 25, 2023

Homotopy theory of spectral sequences

By Muriel Livernet

published on May 25, 2023

String-net methods for CFT correlators

By Christoph Schweigert

published on May 25, 2023

On the Fukaya-Morse A-infinity category

By Pavel Mnev

published on May 25, 2023

Higher operations from algebra and geometry

By Ralph Kaufmann

published on May 26, 2023

Spaces of quasi-invariants and homotopy Lie groups

By Yuri Berest

published on May 26, 2023

Categorification of Euler’s continuants, N-spherical functors and periodic semiorthogonal decompositions

By Mikhail Kapranov

published on May 26, 2023

Higher structures in automorphisms of manifolds

By Alexander Berglund

published on May 25, 2023

Symplectic microgeometry and quantization

By Benoît Dhérin

published on May 24, 2023

Algebraic structures attached to a closed embedding

By Julien Grivaux

Copyright Carmin.tv 2024

Give feedback