A workshop on tensor algebra, rewriting systems, topology and universal algebra, to investigate multiple aspects of generalized higher-order algebra. This event brings together mathematical researchers from multiple areas and to create the opportunity for intellectual cross-pollination.
Organizers: Carlos Zapata (Wolfram, SEMF), Liubov Tupikina (Bell labs, LPI/CRI), Richard Kerner (LPTMC)
RegisterThis will be a hybrid event revolving around a 3-day on-site meeting in central Paris. A virtual forum (on Discord) will be enabled for participant discussion and collaboration prior, during and after the event. Live sessions will be held in Zoom (invites to be sent to participants who register in the link above). The live sessions will be livestreamed and archived by the Wolfram Institute.
The asynchronous discussion will take place on the Wolfram Insitute Discord server:
Time | Speaker | Title of Talk |
---|---|---|
14:00 - 15:00 | Richard Kerner (LPTMC) | TBD |
15:00 - 16:00 | Andrzej Borowiec | TBD |
16:00 - 16:30 | Coffee Break | |
16:30 - 17:30 | Viktor Abramov | TBD |
Time | Speaker | Talk |
---|---|---|
14:00 - 15:00 | Liubov Tupikina | TBD |
15:00 - 16:00 | Nicolas Behr | TBD |
16:00 - 16:30 | Coffee Break | |
16:30 - 17:30 | Francesco Lotito | TBD |
Time | Speaker | Talk |
---|---|---|
14:00 - 15:00 | Carlos Zapata-Carratala | Plex Diagrams: Hypermatrix Algebra via Rewriting |
15:00 - 16:30 | Discussion and Coffee Break | |
16:30 - 17:30 | Josh Grochow | TBD |
Plex Diagrams: Hypermatrix Algebra via Rewriting Carlos Zapata-Carratala (Wolfram Institute)
I will introduce the notion of a plex - an abstract array on a set of indices - and the diagrammatic calculus that recovers many of the hypermatrix operations that have been identified in the literature. I will comment on recent developments in the search for associativity-like axioms.
TBD