This will be a sequel of my last ANTC talk on bundles of probability schemes. We introduce entropy for fiber bundles of probability schemes and higher-order entropy for hypercubes of bundles. This framework yields categorical proofs of several fundamental results about Shannon entropy and reveals correspondences between classical concepts in information theory and categorical concepts […]
Speaker: Vin de Silva (Pomona College) Title: TBA Abstract: TBA _______ We especially welcome all undergraduates and graduate students to attend topology seminar! Room: Roberts South 103
Abstract: We present our program of geometrizing cohomology on a totally disconnected space through the intrinsic Cantor function and the cohomological complex dimensions of the ternary Cantor set. The Cantor set is an uncountable, self-similar set of measure zero; yet beneath this apparent “dust” lies a remarkably rich geometry across scales. We show how cohomological […]
Permutation tests are a powerful and flexible approach to inference via resampling. As computational methods become more ubiquitous in the statistics curriculum, use of permutation tests has become more tractable. At the heart of the permutation approach is the exchangeability condition, which determines the appropriate null sampling distribution. We explore the exchangeability condition in the […]
Speaker: Bahar Acu (Pitzer College) Title: TBA Abstract: TBA _______ We especially welcome all undergraduates and graduate students to attend topology seminar! Room: Roberts South 103
Abstract: Dirichlet’s 1837 proof of his theorem on primes in arithmetic progressions depended on the non-vanishing of L(1,\chi) for nonprincipal characters. The Birch and Swinnerton-Dyer conjecture relates the rank of an elliptic curve to the order of vanishing of its L-function at the central point. Determining whether an individual central value vanishes can be difficult, […]
Atul Vyas was an outstanding CMC student who was majoring in Mathematics and Physics. He tragically lost his life in a train crash that occurred on September 12, 2008 in Chatsworth, California. The Mathematical Sciences Department at CMC fondly remembers Atul as someone who was equally excited by the power of mathematical abstraction and the […]
Speaker: Giuseppe Martone (Sam Houston State University) Title: TBA Abstract: TBA _______ We especially welcome all undergraduates and graduate students to attend topology seminar! Room: Roberts South 103
This GEMS session will be facilitated by Professor Jasmine Camero from Pomona College. Title: Loops and Lines: What Math and Bracelets Have in Common Abstract: Can you make a bracelet out of points? Join us for an interactive adventure where beads and bracelets become a way to explore mathematical curves! We’ll discover how mathematicians find […]
Speaker: David Bachman (Pitzer College) Title: TBA Abstract: TBA _______ We especially welcome all undergraduates and graduate students to attend topology seminar! Room: Roberts South 103
