Roman Martinez
First Name
Angel
Last Name
Roman Martinez
Department
Science and Mathematics
Scholarship Year
2025
Research Center
Non-Center Based
Scholarship Type
Invited Keynote/Presentation
Contributors List
Angel Roman
Project Title
Higher Orbital Integrals on Motion Groups and Mackey Deformation
Start Date - Month
October
Start Date - Year
2025
End Date Anticipated - Month
October
End Date Anticipated - Year
2025
End Date Actual - Month
October
End Date Actual - Year
2025
Review Types
Not Applicable
Student Assistance
None
Projected Cost
$0.00
Funding Source
Operating Budget
Resulting Product
Conference Presentation
Citation

Roman, Angel. "Higher Orbital Integrals on Motion Groups and Mackey Deformation." AMS Special Session on Noncommutative Geometry and Applications. AMS Sectional Meeting. St Louis, MO. 18 Oct. 2025. Lecture.

Abstract

Title: Higher Orbital Integrals on Motion Groups and Mackey Deformation
Abstract: In this talk, I will present an explicit construction of cyclic cocycles on Cartan motion groups, which can be viewed as generalizations of orbital integrals. We show that the higher orbital integral on a real reductive group associated with a semisimple element converges to the corresponding one on the associated Cartan motion group. This is a joint work with Yanli Song and Xiang Tang.
Presented at AMS Special Session on Noncommutative Geometry and Applications during the AMS Sectional Meeting in St Louis, MO

264607