Cluster dualities and superpotentials for Grassmannian

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

• Man Wai Cheung (Institute for the Physics and Mathematics of the Universe (IPMU))
• Tuesday 19 July 2022, 11:15-12:15
• Seminar Room 1, Newton Institute.

If you have a question about this talk, please contact nobody.

KA2W03 - Mathematical physics: algebraic cycles, strings and amplitudes

Marsh-Rietsch described a Landau-Ginzburg model for Grassmannians consisting of the complement of a particular anti-canonical divisor in a Langlands dual Grassmannian together with a superpotential expressed in terms of Plücker coordinates. On the other hand, Grassmannians carry cluster structure which we can write down a superpotential from the work of Gross-Hacking-Keel-Kontsevich. A natural question is — are the two potentials the same or not? Together with Bossinger, Magee, and Najera-Chavez, we identified the cluster structures of the two sides of the mirror Grassmannians and identified the Marsh-Rietsch and the Gross-Hacking-Keel-Kontsevich potentials. As a consequence, we identified the two mirror constructions.

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

• All CMS events
• Featured lists
• INI info aggregator
• Isaac Newton Institute Seminar Series
• School of Physical Sciences
• Seminar Room 1, Newton Institute
• bld31

Note that ex-directory lists are not shown.