Fall 2025

This seminar meets on Mondays 3:00-3:50 PM and Fridays 4:00-4:50 PM in Blocker 302.

The organizers are Frank Sottile and others.

Date	Speaker	Affiliation	Title	Other
August 25, 2025	Justin Lacini	Texas A&M	Logarithmic bounds on Fujita’s conjecture	View Abstract
August 29, 2025			No seminar	(promotion talks)
September 5, 2025			No seminar	(promotion talks)
September 12, 2025			No seminar	(promotion talks)
September 22, 2025	Matthew Faust	Michigan State	TBA	TBA
September 26, 2025
October 3, 2025
October 10, 2025
October 17, 2025
October 24, 2025
October 31, 2025
November 7, 2025
November 14, 2025
November 21, 2025
November 28, 2025				No seminar (Thanksgiving)
December 5, 2025

Related Links

• Departmental seminar website (not working as of Aug 13, 2025)
• Departmental website of the geometry and topology (very out of date of Aug 13, 2025)

A longstanding conjecture of T. Fujita asserts that if $X$ is a smooth complex projective variety of dimension $n$ and if $L$ is an ample line bundle, then $K_X+mL$ is basepoint free for $m\geq n+1$. The conjecture is known up to dimension five by work of Reider, Ein, Lazarsfeld, Kawamata, Ye and Zhu. In higher dimensions, breakthrough work of Angehrn, Siu, Helmke and others showed that the conjecture holds if $m$ is larger than a quadratic function in $n$. We show that for $n\geq 2$ the conjecture holds for $m$ larger than $n(\log\log(n)+3)$. This is joint work with L. Ghidelli.

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Abstract