Coursera Flash Sale
40% Off Coursera Plus for 3 Months!
Grab it
Explore Kazhdan's Property T and its higher-degree generalizations in this mathematical lecture that examines fundamental analytic invariants of discrete and locally compact groups. Learn how Property T is defined through unitary representations and discover the Delorme-Guichardet characterization involving vanishing group cohomology in degree 1 for arbitrary unitary coefficients. Examine Garland's pioneering higher property T results from the 1970s before delving into applications for Lie groups and their lattices based on collaborative research with Uri Bader. Gain insights into the theoretical foundations and practical applications of both classical and higher property T in group theory and representation theory.
