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DTSTART;TZID=America/Los_Angeles:20230215T161500
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SUMMARY:Quantum chromatic numbers of products of quantum graphs (Prof. Rolando De Santiago\, Purdue University)
DESCRIPTION:Title: Quantum chromatic numbers of products of quantum graphs \nSpeaker: Rolando De Santiago\, Department of Mathematics\, Purdue University \nAbstract: Quantum graphs are an operator space generalization of classical graphs that have emerged in different branches of mathematics including operator theory\, non-commutative topology and quantum information theory. We provide a brief introduction to quantum graphs and the quantum chromatic number of graphs. We define the lexicographic product of quantum graphs and investigate the quantum chromatic number of the resulting graph products. Additionally\, we discuss our work on developing the b-fold chromatic number for quantum graphs analogous to the classical case. \nThis is joint work with Meenakshi McNamara \n\n\n\n\n\nRolando is an assistant professor of mathematics in the Department of Mathematics at Purdue University. He considers himself a proud product of the LAUSD\, the community college\, and the Cal State systems which set him up to receive his Ph.D. in Mathematics from the University of Iowa in 2017. Afterward\, he went on to do a postdoc at UCLA where he was awarded the UC Presidential Postdoctoral Fellowship in 2018. His research in the structural aspects of group von Neumann algebras sits at the intersection of analysis\, geometric group theory\, representation theory\, and\, on very rare occasions\, quantum information theory.
URL:https://colleges.claremont.edu/ccms/event/prof-rolando-de-santiago/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
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SUMMARY:structural aspects of von Neumann algebras arising as graph products (Rolando de Santiago\, Purdue University)
DESCRIPTION:Graph products of groups were introduced in E. Green’s thesis in the 90’s as generalizations of Right-Angled Artin Groups. These have become objects of intense study due to their key roles in topology and group theory.  Recently\, Caspers and Fima introduced graph products of von Neumann algebras. Since their inception\, several structural aspects such as absence of Cartan subalgebras\, and classification of tensor products have been established for graph products arising from groups.  Here we describe new progress in this direction\, emphasizing characterization of diffuseness\, factoriality\, and if time\, strong 1-boundedness for graph products of a large class of von Neumann algebras. \nThis is joint work with Ian Charlesworth\, Srivatsav Kunnawalkam-Ellayavali\,  Ben Hayes\, David Jekel\, and Brent Nelson.
URL:https://colleges.claremont.edu/ccms/event/structural-aspects-of-von-neumann-algebras-arising-as-graph-products-rolando-de-santiago-purdue-university/
LOCATION:Roberts North 105\, CMC\, 320 E. 9th St.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
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