The International Center for Mathematical Sciences – Sofia (ICMS-Sofia)


Geometry Seminar of ICMS

14.02.2024, 16:00, Sofia time

ICMS-Sofia, Room 403
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Refined curve counting

Mikhail Shkolnikov, IMI-BAS

Abstract: Refining an enumerative problem upgrades the numerical solution to a polynomial so that its specialization gives the original number. A prototypical example of such refinement arises in the tropical curve counting from replacing Mikhalkin multiplicities, corresponding to counting complex curves,  with Block-Goettsche multiplicities. I will speak about the invariance of this count and its various interpretations.