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DTSTART;TZID=America/Los_Angeles:20230209T163000
DTEND;TZID=America/Los_Angeles:20230209T173000
DTSTAMP:20260505T190415
CREATED:20230208T193627Z
LAST-MODIFIED:20230213T200028Z
UID:3073-1675960200-1675963800@colleges.claremont.edu
SUMMARY:Linear Multifractional Stable Sheets in the Broad Sense: Existence and Joint Continuity of Local Times (Qidi Peng\, Institute of Mathematical Sciences\, CGU)
DESCRIPTION:We introduce the notion of linear multifractional stable sheets in the broad sense (LMSS) to include both linear multifractional Brownian sheets and linear multifractional stable sheets. The purpose of the framework is to study the existence and joint continuity of the local times of LMSS\, and also the local Holder condition of the local times in the set variable. As the main results\, (1) we provide a sufficient and necessary condition for the existence of local times of LMSS; (2) we show a sufficient condition for the joint continuity of local times; and (3) we prove a sharp local Holder condition for the local times in the set variable. All these theorems improve significantly the existing results for the local times of multifractional Brownian sheets and linear multifractional stable sheets in the literature.
URL:https://colleges.claremont.edu/ccms/event/linear-multifractional-stable-sheets-in-the-broad-sense-existence-and-joint-continuity-of-local-times-qidi-peng-institute-of-mathematical-sciences-cgu/
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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DTSTART;TZID=America/Los_Angeles:20230216T163000
DTEND;TZID=America/Los_Angeles:20230216T173000
DTSTAMP:20260505T190415
CREATED:20230208T194019Z
LAST-MODIFIED:20230208T194019Z
UID:3074-1676565000-1676568600@colleges.claremont.edu
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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