Colloquium: Revisiting Fujita's Conjecture: New Collaborations, New Perspectives

Speaker:

Kelly Jabbusch, Associate Professor of Mathematics 

University of Michigan-Dearborn

Abstract:

What does a pure mathematician's research look like? How do we find intriguing problems to solve—or perhaps not solve completely, but develop fascinating new tools along the way? In this talk, I'll introduce you to Fujita's Conjecture, an open problem in algebraic geometry, and I'll share my personal journey of tackling special cases of this conjecture at different points in my career. I’ll give a gentle introduction to toric varieties and toric vector bundles, and explain how combining these mathematical objects creates new geometric landscapes where we can test Fujita's Conjecture. Along the way, we’ll see how viewing the same object from multiple perspectives allows us to gain deeper insights. This most recent foray into Fujita’s Conjecture is joint work with Emilie Arvidsson, Lauren Cranton Heller, Yagna Dutta and Courtney George.

No advanced mathematical background required—just bring your curiosity!