Coursera Flash Sale
40% Off Coursera Plus for 3 Months!
Grab it
Explore new mathematical results establishing the existence of a strong spectral gap for geometrically finite hyperbolic manifolds in this advanced mathematics seminar. Learn about groundbreaking research that settles a 2015 conjecture by Mohammadi and Oh, focusing on n-dimensional hyperbolic manifolds with critical exponent greater than (n−1)/2. Discover the collaborative work between researchers from Boston College and other institutions that led to this significant breakthrough in geometric analysis and dynamical systems. Gain insights into the theoretical foundations and proof techniques used to establish these spectral gap properties, which have important implications for understanding the behavior of hyperbolic manifolds and their associated dynamical systems. This presentation is part of the Joint IAS/Princeton University Groups and Dynamics Seminar series, delivered by Dubi Kelmer from Boston College, and represents cutting-edge research in geometric group theory and spectral analysis of hyperbolic spaces.
