Professor Guoliang Yu
Photo Credit: https://owpdb.mfo.de/detail?photo_id=19350
Distinguished Professor and Thomas W. Powell '62 Chair in Mathematics at Texas A&M University.
Guoliang Yu received his PhD from Stony Brook University in 1991 under the supervision of Ronald Douglas. He held a postdoctoral position from 1991 to 1992 under the mentorship of Irving Kaplansky. Yu served as Assistant Professor at the University of Colorado Boulder from 1992 to 1998, and as Associate Professor at Colorado from 1998 to 2000 and at Vanderbilt University from 2000 to 2001. He was Professor at Vanderbilt University from 2001 to 2012.
Since 2012, Yu has been the Powell Chair in Mathematics at Texas A&M University, and since 2018 he has held the title of University Distinguished Professor. He was an AMS Plenary Speaker in 1999, an Invited Speaker at the International Congress of Mathematicians in 2006, an AMS Fellow in 2013, a Simons Fellow in 2019, the CMBS Lecturer in 2022, and a Gauss Professor at the University of Göttingen in 2023.
Geometry of groups and topological rigidity of manifolds,
General Public Lecture, Monday Mar 31st, 3-4pm, Kittredge Central Hall, Kittredge Multipurpose Room C (KCEN MPR C).
Abstract: Mathematicians use groups to capture the idea of symmetry, and manifolds to describe the shapes of spaces—from the surface of the Earth to models of the universe. In this talk, I will show how drawing and visualizing groups can reveal surprising information about the shape of a space. Through pictures, examples, and geometric intuition, we will see how symmetry can constrain and sometimes completely determine the global structure of a manifold. The talk is designed to be accessible to students and non-experts.
Credit: CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?curid=641408
The Dirac operators and scalar curvature rigidity of manifolds,
Math Colloquium Lecture, Wednesday Apr. 1st, 3-4pm, Kittredge Central Hall, Kittredge Multipurpose Room C (KCEN MPR C).
Abstract: Scalar curvature plays a fundamental role in geometry and in general relativity. Motivated by this connection, Misha Gromov proposed a striking rigidity conjecture: for a convex polyhedron, one cannot simultaneously increase the scalar curvature of a Riemannian metric and the mean curvature of its faces while decreasing the dihedral angles. This rigidity principle has deep consequences, including implications for the positive mass theorem in general relativity.
In this talk, I will introduce Gromov’s conjecture and explain the ideas behind its proof using Dirac operators. This is joint work with Jinmin Wang and Zhizhang Xie. I will make an effort to keep the talk accessible to graduate students and non-experts.
Credit: Robert Webb's Stella software, http://www.software3d.com/Stella.php.
DeLong Lecture Reception: Wednesday April 1st, 5.30-8pm.
The DeLong Lecture Series is funded by an endowment given by Professor Ira M. DeLong, who came to the University of Colorado in 1888 at the age of 33. Professor DeLong played a fundamental role in the mathematics department as a teacher, researcher and administrator. Professor DeLong was also a prominent citizen of the community of Boulder as well as president of the Mercantile Bank and Trust Company, organizer of the Colorado Education Association, and president of the charter convention that gave Boulder the city manager form of government in 1917. After his death in 1942 it was decided that the bequest he made to the mathematics department would accumulate interest until income became available to fund the DeLong prizes for undergraduates and the DeLong Lectureships to bring outstanding mathematicians to campus each year. The first DeLong Lectures were delivered in the 1962-63 academic year.
Ira M. DeLong
Photo credit: https://www.colorado.edu/math/ira-m-delong
Mathematics Department,
University of Colorado Boulder