Algebra & Combinatorics Seminar

Minimal currents and the Abundance conjecture

  • Speaker: Vladimir Lazić(Universität des Saarlandes)

  • Time: Dec 9, 2024, 14:30-16:00

  • Location: Room M3009, College of Science Building

Abstract

The Abundance conjecture predicts that on a minimal projective klt pair (X, D), the adjoint divisor K_X+D is semiample. In this talk, I will explain how currents, and in particular currents with minimal singularities, play a role in recent progress towards a proof of the Abundance conjecture for minimal klt pairs with non-vanishing Euler-Poincaré characteristic.