CMU Campus
Department of         Mathematical Sciences
Events People Colloquia and Seminars Conferences Centers Positions Areas of Research About the Department Alumni
Model Theory Seminar
Vincent Guingona
University of Notre Dame
Title: VC-density, dp-rank, and op-dimension

Abstract: I talk about my recent work joint with Cameron Hill on various notions of rank and dimension in NIP theories. I begin with a discussion of dp-rank and it's relation to VC-density. I show that dp-rank and VC-density over indiscernible sequences coincide in the natural way. Then, I talk about the notion of op-dimension, which is a new rank related to both dp-rank and Shelah's 2-rank. I show that op-dimension bounds dp-rank, is subadditive, and generalizes dimension in o-minimal theories.

Date: Sunday, November 11, 2012
Time: 5:00 pm
Location: Wean Hall 8220
Submitted by:  Grossberg