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DTSTART;TZID=America/New_York:20260211T120000
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CREATED:20251223T192428Z
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SUMMARY:CMSA Q&A Seminar: James Eldred Pascoe\, Drexel University
DESCRIPTION:CMSA Q&A Seminar \nSpeaker: James Eldred Pascoe\, Drexel University \nTitle: (What is) The tracial fundamental group and free universal monodromy? \nAbstract: We introduce the tracial fundamental group to classify the analytic continuation of functions that are locally behave like the trace of natural matrix valued functions. While globally defined natural matrix-valued functions (known as free noncommutative functions\, which roughly locally are defined by noncommutative power series) satisfy universal monodromy\, we show that these tracial free functions exhibit a rigid but nontrivial structure governed by the aforementioned group. We prove that the tracial fundamental group is always a torsion-free\, divisible abelian group\, standing in sharp contrast to the non-abelian fundamental groups of classical domains.
URL:https://cmsa.fas.harvard.edu/event/cmsaqa_21126/
LOCATION:Common Room\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:CMSA Q&A Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Q-A-Seminar-2.11.2026.docx-scaled.png
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