## Open Problem(s) in p-Cell Theory

Lars Jensen

Member, School of Mathematics

September 23, 2020

Lars Jensen

Member, School of Mathematics

September 23, 2020

Anne Dranowski

Member, School of Mathematics

September 23, 2020

Andrea Dotto

Member, School of Mathematics

September 22, 2020

Laurent Côté

Member, School of Mathematics

September 22, 2020

Elia Bruè

Member, School of Mathematics

September 22, 2020

Pablo Boixeda Alvarez

Member, School of Mathematics

September 22, 2020

Vijay Bhattiprolu

Member, School of Mathematics

September 22, 2020

Lior Alon

Member, School of Mathematics

September 22, 2020

David Jewitt

September 22, 2020

In the solar system as elsewhere, we learn most from the unexpected. I will describe three recent observational projects challenging existing ideas about solar system objects, and provoking new ones. The freaks are an interstellar object (‘Oumuamua) and a long-period comet (C/2017 K2), active far beyond Uranus. The conundrum concerns the origin of the Trojans of Neptune in the context of planetary migration.

Cheol-Hyun Cho

Seoul National University

September 21, 2020

For a weighted homogeneous polynomial and a choice of a diagonal symmetry group, we define a new Fukaya category based on wrapped Fukaya category of its Milnor fiber together with monodromy information. It is analogous to the variation operator in singularity theory. As an application, we formulate a complete version of Berglund-Hübsch homological mirror symmetry and prove it for two variable cases.