Mathematics Colloquium by Dr. Gabriel Picioroaga, University of South Dakota
2025-03-31 15:30 - 16:30 | MSB 318: Mathematical Sciences Building, Room 318
The UCF [Mathematics Colloquium](https://sciences.ucf.edu/math/colloquium/), held every Monday from 3:30pm to 4:30pm in MSB 318, offers a diverse platform for research scholars, faculty, students, and industry experts to share and exchange ideas, fostering discussion and networking across various areas of mathematics.

Dr. [Gabriel Picioroaga](https://www.usd.edu/research-and-faculty/faculty-and-staff/gabriel-picioroaga) from University of South Dakota will speak at this week's colloquium on frames and group representations.

Abstract: Frames are a versatile tool used in signal processing to encode, transmit and decode information. One of their strengths is redundancy, which provides flexibility with respect to erasures and noise. The rich theory of frame analysis and constructions integrates many areas of mathematics, such as harmonic analysis, measure theory, and operators in Hilbert spaces.
In my talk, I will highlight both known and new connections between frames and representation theory. Specifically, I will show that the existence of frame vectors in certain countable group representations classifies the group and is related to group invariants such as amenability, Haagerup's property and property (T).
