The HRT Conjecture

Series
Analysis Seminar
Time
Wednesday, January 18, 2017 - 2:05pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Chris Heil – Georgia Tech
Organizer
Shahaf Nitzan
The Linear Independence of Time-Frequency Translates Conjecture, also known as the HRT conjecture, states that any finite set of time-frequency translates of a given $L^2$ function must be linearly independent. This conjecture, which was first stated in print in 1996, remains open today. We will discuss this conjecture, its relation to the Zero Divisor Conjecture in abstract algebra, and the (frustratingly few) partial results that are currently available.