Commutative Algebra and Algebraic Geometry: The Fellowship of the Ring: An introduction to a conjecture of Lech

Seminar | November 14 | 3:45-4:45 p.m. | 939 Evans Hall

 Craig Huneke, University of Virginia

 Department of Mathematics

Lech wrote a series of three papers in the early 1960s which studied the multiplicity of rings. He paid special attention to the behavior of multiplicity under flat extensions and formulated a simple conjecture which remains unsolved. In some sense, what his conjecture shows is that we do not understand flatness. I will talk about his conjecture and some recent work by Linquan Ma which resolves the conjecture in dimension 3.