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X-WR-CALNAME:Claremont Center for the Mathematical Sciences
X-ORIGINAL-URL:https://colleges.claremont.edu/ccms
X-WR-CALDESC:Events for Claremont Center for the Mathematical Sciences
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DTSTART;TZID=America/Los_Angeles:20241029T121500
DTEND;TZID=America/Los_Angeles:20241029T131000
DTSTAMP:20260518T080104
CREATED:20240903T234219Z
LAST-MODIFIED:20241023T053311Z
UID:3487-1730204100-1730207400@colleges.claremont.edu
SUMMARY:Sequences with identical autocorrelation spectra (Daniel Katz\, Cal State Northridge)
DESCRIPTION:In this talk\, we explore sequences and their autocorrelation functions. Knowing the autocorrelation function of a sequence is equivalent to knowing the magnitude of its Fourier transform.  Resolving the lack of phase information is called the phase problem.  We say that two sequences are equicorrelational to mean that they have the same aperiodic autocorrelation function.  We investigate the necessary and sufficient conditions for two sequences to be equicorrelational\, where\nwe take into consideration the alphabet from which their terms are drawn.  There are trivial forms of equicorrelationality arising from modifications that predictably preserve the autocorrelation\, for example\, negating the sequence or writing the sequence in reverse order and then complex conjugating every term.  By an exhaustive search of binary sequences up to length $44$\, we find that nontrivial equicorrelationality among binary sequences does occur\, but is rare.  We say that a positive integer $n$ is {\it unequivocal} to mean that there is no pair of nontrivially equicorrelational binary sequences of length $n$; otherwise $n$ is {\it equivocal}.  For integers $n \leq 44$\, we found that the unequivocal ones are $1$–$8$\, $10$\, $11$\, $13$\, $14$\, $19$\, $22$\, $23$\, $26$\, $29$\, $37$\, and $38$.  We prove that any multiple of a equivocal number is also equivocal\, and pose open questions as to whether there are finitely or infinitely many unequivocal numbers and whether the probability of nontrivial equicorrelationality occurring tends to zero as the sequence length tends to infinity.  (This is joint work with Adeebur Rahman and Michael J Ward.)
URL:https://colleges.claremont.edu/ccms/event/antc-talk-daniel-katz-cal-state-northridge-2/
LOCATION:Estella 2113
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20241029T150000
DTEND;TZID=America/Los_Angeles:20241029T160000
DTSTAMP:20260518T080104
CREATED:20240928T044917Z
LAST-MODIFIED:20241024T185135Z
UID:3552-1730214000-1730217600@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Orsola Capovilla-Searle (UC Davis)
DESCRIPTION:We welcome all undergraduate/graduate students and faculty to attend topology seminar! \nSpeaker: Orsola Capovilla-Searle (UC Davis) \nTitle: Exact Lagrangian fillings of Legendrian links \nAbstract: An important problem in contact topology is to understand Legendrian submanifolds; these submanifolds are always tangent to the plane field given by the contact structure. Legendrian links arise as wavefronts in optics\, and can sometimes be used to distinguish contact structures. Legendrian links can also arise as the boundary of exact Lagrangian surfaces in the standard symplectic 4-ball which are called fillings of the link. In the last seven years\, our understanding of the moduli space of fillings for various families of Legendrians has greatly improved thanks to tools from sheaf theory\, Floer theory and cluster algebras. I will talk about recent work establishing connections between fillings and Newton polytopes\, as well as applications to higher dimensional Legendrian submanifolds and non-orientable fillings.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-orsola-capovilla-searle-uc-davis-2/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20241030T161500
DTEND;TZID=America/Los_Angeles:20241030T173000
DTSTAMP:20260518T080104
CREATED:20241108T223952Z
LAST-MODIFIED:20241108T224318Z
UID:3605-1730304900-1730309400@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Braids\, Polynomials\, and Hilbert’s 13th Problem (Jesse Wolfson\, UC Irvine)
DESCRIPTION:Speaker:Jesse Wolfson\, UC Irvine \nTitle: Braids\, Polynomials\, and Hilbert’s 13th Problem \nAbstract: There are still completely open fundamental questions about polynomials in one variable. One example is Hilbert’s 13th Problem\, a conjecture going back long before Hilbert. Indeed\, the invention of algebraic topology grew out of an effort to understand how the roots of a polynomial depend on the coefficients. The goal of this talk is to explain part of the circle of ideas surrounding these questions. Along the way\, we will encounter some beautiful classical objects – the space of monic\, degree d square-free polynomials\, algebraic functions\, lines on cubic surfaces\, level structures on Jacobians\, braid groups\, Galois groups\, and configuration spaces – all intimately related to each other\, all with mysteries still to reveal. This is ongoing joint work with Benson Farb and Mark Kisin. \nBio: Jesse Wolfson is an associate professor and vice chair of inclusive excellence in the department of mathematics at the University of California\, Irvine.  His research focuses on long-standing open problems at the interface of algebra\, geometry and topology.  His perspective on geometry and topology emerges in part from his long-running exchange with choreographer Reggie Wilson. He currently serves on the board of directors of Wilson’s Fist and Heel Performance Group\, an internationally acclaimed Brooklyn based “Post-African neo-hoodoo modern dance company.”
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-braids-polynomials-and-hilberts-13th-problem-jesse-wolfson-uc-irvine/
LOCATION:CA
CATEGORIES:Colloquium
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20241031T163000
DTEND;TZID=America/Los_Angeles:20241031T173000
DTSTAMP:20260518T080104
CREATED:20241028T024048Z
LAST-MODIFIED:20241028T024048Z
UID:3591-1730392200-1730395800@colleges.claremont.edu
SUMMARY:Analysis Seminar: Exceptional Sets for Divergent Fourier Series (Prof. Michael O'Neill (CMC))
DESCRIPTION:Title: Exceptional Sets for Divergent Fourier Series \nAbstract: A survey of some old and newer results on divergent Fourier series with some comments on how they relate to undergraduate analysis courses and (time permitting) leading to a brief discussion of\nan open question on the size of exceptional sets in divergence examples and some progress on it.
URL:https://colleges.claremont.edu/ccms/event/analysis-seminar-exceptional-sets-for-divergent-fourier-series-prof-michael-oneill-cmc/
LOCATION:Estella 2131\, Pomona College\, 610 N College Ave\, Claremont\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20241102T100000
DTEND;TZID=America/Los_Angeles:20241102T120000
DTSTAMP:20260518T080104
CREATED:20241006T034710Z
LAST-MODIFIED:20241011T175246Z
UID:3568-1730541600-1730548800@colleges.claremont.edu
SUMMARY:GEMS November 2nd Session
DESCRIPTION:This GEMS session will be facilitated by Professor David Bachman from Pitzer College. \nTitle: How does ChatGPT work? \nAbstract: In 2022 ChatGPT took the world by storm and challenged our ideas of what computers are capable of. However\, few people have any sense of how this technology works. Through hands-on activities participants will learn about neural networks (the engines that power language models like ChatGPT)\, and about how computers can generate text that reads like it was written by a human.
URL:https://colleges.claremont.edu/ccms/event/gems-november-2nd-session/
LOCATION:Shanahan 1480\, Harvey Mudd College\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States
CATEGORIES:GEMS
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