"Reason is immortal, all else mortal." - Pythagoras
Spring 2024
Organized by Kamal Diki and Polona Durcik, sponsored by CECHA.
The talks will be held in a hybrid format, on Zoom (meeting ID: 99396752824) and/or on campus at Keck Center of Science and Technology (no. 30 on the Campus map, at the intersection of Walnut Ave and Center St).
Schedule
Tuesday, January 23, 2024, 3:00pm - 4:00pm, Beckman 213
Ahmed Sebbar (Chapman University)
Variations on Vieta Formula
Abstract: Vieta formula is an elementary formula concerning the sine function with deep interpretations, due to its relation to Rademacher functions. We show that, properly interpreted, it is the visible part of a large structure. We give four notable examples.
Friday, March 1, 2024, 3:00pm - 5:00pm, Keck Center 153 (In collaboration with MPP seminar)
Ahmed Sebbar (Chapman University)
On the Stone-Weistrass Theorem
Abstract: The classical Stone-Weierstrass approximation theorem states that every continuous function, defined on a closed interval [a, b], is a uniform limit of a sequence of polynomials. The problem considered here is the approximation by a sequence of polynomials with integer coefficients. There are severe restrictions. The constant function 1/2, considered on the interval [1/2, 3/2], cannot be uniform limit of a sequence of polynomials with integer coefficients. We look at this question in relation to the geometry of numbers, the geometry of convex bodies and physics.