This volume contains the proceedings of the virtual AMS Special Session on Geometric and Algebraic Aspects of Quantum Groups and Related Topics, held from November 20-21, 2021. Noncommutative algebras and noncommutative algebraic geometry have been an active field of research for the past several decades, with many important applications in mathematical physics, representation theory, number theory, combinatorics, geometry, low-dimensional topology, and category theory. Papers in this volume contain original research, written by speakers and their collaborators. Many papers also discuss new concepts with detailed examples and current trends with novel and important results, all of which are invaluable contributions to the mathematics community.
J. Glidewell, W. Hurst, K. Lee, and L. Li, On the two-dimensional
Jacobian conjecture: Magnus' formula revisited, III
T. Oke, Homotopy lifting maps on Hochschild cohomology and connections to
deformation of algebras using reduction systems
J. Gaddis and T. Lamkin, Centers and automorphisms of PI quantum matrix
algebras
G. Johnson and H. Melikyan, On autmorphisms of quantum Schubert cells
A. M. Zeitlin, On Wronskians and $qq$-systems
M. S. Im and M. Khovanov, One-dimensional topological theories with defects:
The linear case
M. Khovanov and N. Kitchloo, A deformation of Robert-Wagner foam evaluation
and link homology
M. Khovanov, K. Putyra, and P. Vaz, Odd two-variable Soergel bimodules and
Rouquier complexes.
Mee Seong Im, United States Naval Academy, Annapolis, MD.
Bach Nguyen, Xavier University of Louisiana, New Orleans, LA.
Arik Wilbert, University of South Alabama, Mobile, AL
