A new spin on GW theory

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

• Danilo Lewański, Università di Trieste and Université de Genève
• Wednesday 01 February 2023, 14:15-15:15
• CMS MR13.

If you have a question about this talk, please contact Dhruv Ranganathan.

Moduli spaces of complex surfaces are hard and computing all their GW invariants is for the moment out of reach. The GW of certain surfaces however can be reduced to the GW theory of curves together with an extra spin structure. For us this is particularly interesting as it eventually boils down to spin Hurwitz numbers and topological recursion of Eynard and Orantin. Hence we decided to attempt the extension of the Okounkov-Pandharipande trilogy on the GW of curves to the spin setting (we are now 2 papers in, looking for some extra ideas to unlock the last one!). Current results involve arguably the hardest part already, i.e. the spin Riemann sphere, describing its integrability, ELSV formulae, and providing an algorithm to compute the GW invariants. This reproves a conjecture by Maulik-Pandharipande in degrees 1 and 2 and generalises it to higher degrees.

This talk is part of the Algebraic Geometry Seminar series.

This talk is included in these lists:

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

Note that ex-directory lists are not shown.