Martes 21 de marzo

"NewtonOkounkov bodies and limits in characteristic p>0"


Ponente:  Daniel J. Hernández, Universidad de Kansas  Lugar:  Salón G101  Hora:  12:30 hrs  Resumen:  Motivated by recent work of Cutkosky on multiplicities, we will consider various numerical limits coming from prime characteristic commutative algebra from the point of view of NewtonOkounkov bodies. This is joint work with Jack Jeffries (Michigan). 

Martes 7 de marzo

"Globalizing Finvariants"


Ponente:  Alessandro De Stefani  Lugar:  Salón G101  Hora:  12:30 hrs  Resumen:  The HilbertKunz multiplicity and the Fsignature are two important
numerical invariants, defined for local rings of prime characteristic.
They are subtly connected with the theory of singularities, and they
often provide a good measure of how illbehaved a ring can be. We will
survey some classical results on these invariants. We will discuss how
to extend these notions to rings that are not necessarily local, in a
way that still detects relevant information. This gives a possible way
to meaningfully extend these concepts to more geometric objects, such
as algebraic varieties. The talk is based on joint work with Thomas
Polstra and Yongwei Yao. 
