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X-WR-CALDESC:Events for Claremont Center for the Mathematical Sciences
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DTSTART;TZID=America/Los_Angeles:20261013T121500
DTEND;TZID=America/Los_Angeles:20261013T131000
DTSTAMP:20261009T145627Z
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UID:10002366-1791893700-1791897000@colleges.claremont.edu
SUMMARY:Bertini’s theorem for F-rationality (Austyn Simpson\, Bates College)
DESCRIPTION:A classical principle in algebraic geometry is that a general hyperplane section of a variety should have singularities no worse than those of the variety itself. Over the complex numbers\, this principle is known to hold for rational singularities. Rational singularities are related via reduction mod p to a notion called F-rationality\, which is defined in terms of the Frobenius endomorphism. In this talk\, I will explore whether F-rationality is inherited by a general hyperplane section of a quasi-projective variety. I will explain why this question has a negative answer in general\, but an affirmative one provided that the variety X admits a Frobenius splitting. This is based on joint work with Alessandro De Stefani and Thomas Polstra.
URL:https://colleges.claremont.edu/ccms/event/bertinis-theorem-for-f-rationality-austyn-simpson-bates-college/
LOCATION:Estella 1021 (Emmy Noether Room)\, Pomona College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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DTSTART;TZID=America/Los_Angeles:20261013T161500
DTEND;TZID=America/Los_Angeles:20261013T171500
DTSTAMP:20261003T001516Z
CREATED:20261003T001516Z
LAST-MODIFIED:20261003T001516Z
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SUMMARY:Claremont Topology Seminar: Jim Hoste (Pitzer College)
DESCRIPTION:Speaker: Jim Hoste (Pitzer) \nTitle: Enumerating 2-bridge knots\n \nAbstract: A new proof of an old theorem. This is joint work with Patrick D. Shanahan (Loyola Marymount University). \n_______ \nWe especially welcome all undergraduates and graduate students to attend topology seminar! \nRoom: Roberts South 103
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-jim-hoste-pitzer-college-2/
LOCATION:Roberts South 103\, Roberts Hall South 103\, Claremont McKenna College\, E 8th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
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DTSTART;TZID=America/Los_Angeles:20261014T161500
DTEND;TZID=America/Los_Angeles:20261014T171500
DTSTAMP:20261012T021405Z
CREATED:20261012T021405Z
LAST-MODIFIED:20261012T021405Z
UID:10002368-1791994500-1791998100@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Frobenius invariants — Austyn Simpson (Bates College)
DESCRIPTION:Abstract: Rings containing a finite field \(mathbb{F}_p\) (such as the ring of polynomials with coefficients in \(mathbb{F}_p\)) admit a map called the Frobenius homomorphism which sends every element to its \(p\)-th power. This operation encodes delicate information about the geometry of the zero sets of polynomial equations in prime characteristic\, such as whether they are smooth. In this talk\, I will survey some numerical invariants defined using limits and asymptotic properties of this homomorphism which quantify how non-smooth a polynomial is. I will also discuss the current capabilities of large language models at solving problems related to these invariants\, as well as a surprising appearance of the number \(frac{4}{3}+frac{5}{14sqrt{7}}\). \n\n\n\nFor questions about the event\, please contact your CCMS Colloquium chairs: \nProf. Robert Cass (Robert.Cass@ClaremontMcKenna.edu) or Prof. Qidi Peng (Qidi.Peng@cgu.edu) \nFor logistical questions\, contact Maxwell Kooiker (Maxwell.Kooiker@cgu.edu)\, the CCMS Colloquium Assistant.
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-frobenius-invariants-austyn-simpson-bates-college/
LOCATION:Burkle 16\, Claremont Graduate University\, 1021 N. Dartmouth Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Qidi Peng":MAILTO:Qidi.Peng@cgu.edu
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DTSTART;TZID=America/Los_Angeles:20261015T161500
DTEND;TZID=America/Los_Angeles:20261015T173000
DTSTAMP:20260924T214659Z
CREATED:20260924T214602Z
LAST-MODIFIED:20260924T214659Z
UID:10002340-1792080900-1792085400@colleges.claremont.edu
SUMMARY:NT Learning Seminar — A Simple Proof of the 4-Squares Theorem (Adelia Poyarkov)
DESCRIPTION:We showcase A Simple Proof of the Four-Squares Theorem. Presented by Adelia Poyarkov. Link: https://www.jstor.org/stable/2320997. \n\n\n\nFor questions about the event\, please contact your NTLS Organizers: \nMaxwell Kooiker (Maxwell.Kooiker@cgu.edu) or Prof. Edray Goins (Edray.Goins@pomona.edu)
URL:https://colleges.claremont.edu/ccms/event/nt-learning-seminar-a-simple-proof-of-the-4-squares-theorem-adelia-poyarkov/
LOCATION:Burkle 12\, Claremont Graduate University\, 1021 N. Dartmouth Ave.\, Claremont\, 91711\, United States
CATEGORIES:Special Event
ORGANIZER;CN="Maxwell Kooiker":MAILTO:maxwell.kooiker@cgu.edu
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