September 20, 2023
4:10PM - 5:40PM
Cockins Hall 240
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2023-09-20 16:10:00
2023-09-20 17:40:00
Invitation to the Heisenberg group
Title: Invitation to the Heisenberg group
Speaker: Scott Zimmerman
Abstract: Sub-Riemannian manifolds are mathematical structures used to model scenarios in which some sort of motion is restricted to a lower dimensional space of directions. They have applications in a wide variety of settings including control theory and mathematical neuroscience.
The Heisenberg group is the simplest, non-abelian and non-Euclidean example of a sub-Riemannian manifold. It is nothing more than 3-dimensional Euclidean space in which the geometry has been changed. In this talk, I will introduce the Heisenberg group and explore how simple problems in Euclidean space are made more difficult when considered in a sub-Riemannian setting.
Note: This is part of the Invitations to Mathematics lecture series given each year in Autumn Semester. Pre-candidacy PhD students can sign up for this lecture series by registering for one or two credit hours of Math 6193 with Professor Nimish Shah.
Cockins Hall 240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2023-09-20 16:10:00
2023-09-20 17:40:00
Invitation to the Heisenberg group
Title: Invitation to the Heisenberg group
Speaker: Scott Zimmerman
Abstract: Sub-Riemannian manifolds are mathematical structures used to model scenarios in which some sort of motion is restricted to a lower dimensional space of directions. They have applications in a wide variety of settings including control theory and mathematical neuroscience.
The Heisenberg group is the simplest, non-abelian and non-Euclidean example of a sub-Riemannian manifold. It is nothing more than 3-dimensional Euclidean space in which the geometry has been changed. In this talk, I will introduce the Heisenberg group and explore how simple problems in Euclidean space are made more difficult when considered in a sub-Riemannian setting.
Note: This is part of the Invitations to Mathematics lecture series given each year in Autumn Semester. Pre-candidacy PhD students can sign up for this lecture series by registering for one or two credit hours of Math 6193 with Professor Nimish Shah.
Cockins Hall 240
Department of Mathematics
math@osu.edu
America/New_York
public
Title: Invitation to the Heisenberg group
Speaker: Scott Zimmerman
Abstract: Sub-Riemannian manifolds are mathematical structures used to model scenarios in which some sort of motion is restricted to a lower dimensional space of directions. They have applications in a wide variety of settings including control theory and mathematical neuroscience.
The Heisenberg group is the simplest, non-abelian and non-Euclidean example of a sub-Riemannian manifold. It is nothing more than 3-dimensional Euclidean space in which the geometry has been changed. In this talk, I will introduce the Heisenberg group and explore how simple problems in Euclidean space are made more difficult when considered in a sub-Riemannian setting.
Note: This is part of the Invitations to Mathematics lecture series given each year in Autumn Semester. Pre-candidacy PhD students can sign up for this lecture series by registering for one or two credit hours of Math 6193 with Professor Nimish Shah.
