Tubular neighborhoods for the Carnot-Carathéodory distance in the Heisenberg group
Part 2 of Lectures of Professor Manuel Ritoré from the University of Granada, Spain
Seminar
Tubular neighborhoods for the Carnot-Carathéodory distance in the Heisenberg group
Lectures of Professor Manuel Ritoré from the University of Granada, Spain
“An introduction to fixed point theory in Banach spaces. 2.”
“An introduction to nonstandard methods in fixed point theory: ultrafilters and ultrapowers.”
Toric Ideals of Graphs
Abstract:
Toric ideals are a class of binomial ideals with many applications including to integer programming and algebraic statistics. One can associate a toric ideal to a finite simple graph by taking the kernel of the monomial map which sends the edges of the graph to the product of their endpoints. In this talk I will discuss some algebraic properties of toric ideals of graphs, focusing particularly on the Castelnuovo-Mumford regularity which is an invariant which measures the complexity of the relations among the generators of the ideal.
On non-computable problems in computer assisted proofs - Why foundations of computations may interest pure mathematicians
Abstract: