UC Berkeley

Commutative Algebra and Algebraic Geometry Seminar

April 09, 2019

939 Evans Hall

3:45PM: Tropical commutative algebra

Diane Maclagan

One consequence of the recent push to develop a scheme theory in tropical geometry has been the development of a tropical commutative algebra. This starts with the commutative algebra of semirings, but in order to get a theory that interacts with geometry, we are lead to impose some combinatorial, matroid-theoretic, conditions. I will introduce these ideas, and discuss the current state of our understanding.

5:00PM: The Priddy Koszul complex and resolution of the residue field of a local ring

David Eisenbud

Last week Mike Stillman spoke about recent investigations of Koszul algebras. I'll give some more general background on resolutions of the residue field of a local ring, and talk about work of Conca and others on bounds for the syzygies of a Koszul ring.

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