Quantum topology of Legendrian curves

Add to your list(s) Download to your calendar using vCal

• Fabian Haiden, Oxford
• Wednesday 04 December 2019, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Ivan Smith.

Two constructions input a surface S (with some extra data) and output an associative algebra whose elements are represented by Legendrian curves: 1) the Legendrian skein algebra of S x R, defined by imposing linear relations between curves which differ locally 2) the Hall algebra of the Fukaya category of S. We construct a homomorphism from 1) to 2) which in examples is as close to isomorphism as it can be. The proof requires a precise understanding of the relation between formal deformations (Maurer-Cartan elements) and geometric deformations (surgery) for immersed curves. [See arxiv:1908.10358]

This talk is part of the Differential Geometry and Topology Seminar series.

This talk is included in these lists:

• All CMS events
• All Talks (aka the CURE list)
• CMS Events
• DPMMS Lists
• DPMMS Pure Maths Seminar
• DPMMS info aggregator
• DPMMS lists
• Differential Geometry and Topology Seminar
• Hanchen DaDaDash
• Interested Talks
• MR13
• School of Physical Sciences
• bld31

Note that ex-directory lists are not shown.