UBC Topology Seminar: Antonio Alfieri

  • Date: 11/25/2020
  • Time: 14:00
Antonio Alfieri, University of British Columbia



Rational cuspidal curves, surfaces of Bogomolov-Miyaoka-Yau type, and rational homology cobordism: old and new problems at the crossroad of algebraic geometry and low dimensional topology.


A classical problem in algebraic geometry asks what rational cuspidal curves can be realised in the complex projective plane. In the last few years some substantial advancement regarding this problem have been made, also based on the methods of Heegaard Floer homology. I will discuss some open problems, conjectures, and constructions. This is joint work with Paolo Aceto (Oxford University).

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