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DTSTAMP:20241108T210433
DTSTART;TZID=America/Detroit:20241120T150000
DTEND;TZID=America/Detroit:20241120T160000
SUMMARY:Workshop / Seminar:Probability Seminar: A new approach to strong convergence of random matrices
DESCRIPTION:Friedman's celebrated 2004 result states that\, as the number of vertices goes to infinity\, random d-regular graphs are (with high probability) nearly optimal expanders\, meaning that the top non-trivial eigenvalue of their (random) adjacency matrix converges in probability to 2 sqrt(d-1). Since expanders are of great interest in mathematics and computer science\, Friedman's paper (which is ~100 pages long) has attracted a lot of attention in the last two decades and more efficient proofs of his result (which yield vast generalizations) have been found. However\, all the approaches to Friedman's theorem and its extensions relied on very delicate and sophisticated combinatorial considerations\, making it hard to apply those ideas to other settings of interest.\n\nIn this talk I will discuss a fundamentally new (analytic) approach to Friedman's theorem which yields an elementary proof that can be written in just a few pages. Our approach also allows us to establish strong convergence (i.e. sharp norm estimates) for much more general models of tuples of random matrices (random regular graphs corresponding to the particular case of adding independent random permutations). These results can be used to show that certain infinite objects admit very strong finite dimensional approximations\, which has important implications in operator algebras\, spectral geometry\, and differential geometry.\n\nThis is joint work with Chi-Fang Chen\, Joel Tropp\, and Ramon van Handel.
UID:128971-21861963@events.umich.edu
URL:https://events.umich.edu/event/128971
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 3098
CONTACT:
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DTSTAMP:20241205T123102
DTSTART;TZID=America/Detroit:20241120T150000
DTEND;TZID=America/Detroit:20241120T160000
SUMMARY:Careers / Jobs:SMBC Resume Review Workshop
DESCRIPTION:The SMBC Resume Review Workshop is meant to provide insighton how to make your resume become a reflection of your professionalism. We understand that the first step toward being an exemplary candidate is shown through your resume. Therefore\, we will be providing each of you withinsight on how to prepare a resume that properly reflects your knowledge\, skills\, and education. With these tools\, you will understand how to demonstrate the value that you bring to a company within your resume. Not only will we be providing tips that are relevant to the financial industry\,but we will also provide you with proper takeaways that you can bring with you anywhere as you grow into a young professional!
UID:125265-21854625@events.umich.edu
URL:https://events.umich.edu/event/125265
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:
LOCATION:
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