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Algebra Seminar | Jesse Huang (Waterloo)
	
 Nov 11, 2025 
 11:30AM to 12:30PM





	





























Date/Time

Date(s) - 11/11/2025
11:30 am - 12:30 pm





Speaker: Jesse Huang (Waterloo)


Location: Hamilton Hall, Room 312


Title: Long Live the King’s Conjecture!


Abstract: King’s conjecture proposed that every smooth projective toric variety admits a full strong exceptional collection of line bundles – equivalently, a tilting bundle composed of line bundles. Although the original conjecture is known to fail in general, recent advances on resolution of diagonal toric varieties inspired by homological mirror symmetry suggest a new perspective: it can be proved that a birational reformulation of the King’s conjecture is indeed true!


In this talk, we will discuss the new “birational King”, and its new implications on the coherent-constructible correspondence and homological properties of Bondal-Thomson monads. This talk is based on joint works with Favero, and Ballard-Berkesch-Brown-Cranton Heller-Erman-Favero-Ganatra-Hanlon.