Research

Analysis and PDEs in Metric Spaces
(Leader: )

Friday, November 17, 2023

Title: Heisenberg Words
Speaker: Zachary Forrest
Time: 11:00am–12:00pm
Place: CMC 109

Abstract

We will discuss words in the Heisenberg group.

Friday, November 10, 2023

Due to the Veteran's Day holiday, there will be no seminar this week.

Friday, November 3, 2023

Title: Properties of Grushin Jets, Part V
Speaker: Zachary Forrest
Time: 11:00am–12:00pm
Place: CMC 109

Friday, October 27, 2023

Title: Properties of Grushin Jets, Part IV
Speaker: Zachary Forrest
Time: 11:00am–12:00pm
Place: CMC 109

Friday, October 20, 2023

Title: Properties of Grushin Jets, Part III
Speaker: Zachary Forrest
Time: 11:00am–12:00pm
Place: CMC 109

Friday, October 13, 2023

Title: Properties of Grushin Jets, Part II
Speaker: Zachary Forrest
Time: 11:00am–12:00pm
Place: CMC 109

Friday, October 6, 2023

Title: Properties of Grushin Jets
Speaker: Zachary Forrest
Time: 11:00am–12:00pm
Place: CMC 109

Abstract

We will cover analytic and geometric properties of subelliptic jets in Grushin-type spaces.

Friday, September 29, 2023

Title: A Geometric Tour of Grushin-type Spaces, Part II
Speaker: Zachary Forrest
Time: 11:00am–12:00pm
Place: CMC 109

Friday, September 22, 2023

No seminar this week.

Friday, September 15, 2023

Title: A Geometric Tour of Grushin-type Spaces
Speaker: Zachary Forrest
Time: 11:00am–12:00pm
Place: CMC 109

Abstract

In recent years, Grushin-type spaces have attracted considerable attention due to their interesting geometry, which results from the lack of an underlying algebraic group law.

In this talk, we will explore the geometric properties of Grushin-type spaces and discuss calculus and PDEs on these spaces.

Friday, September 8, 2023

Title: A Brief Introduction into Sub-Riemannian Geometry
Speaker: Thomas Bieske
Time: 11:00am–12:00pm
Place: CMC 109

Abstract

We motivate the study of sub-Riemannian geometry and discuss some key geometric properties. We establish calculus in such spaces and explore solutions to partial differential equations. This talk is accessible to graduate students.