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SUMMARY:CCMS Colloquium with Pre-Colloquium Reception:  Shahriar Shahriari (Pomona College)
DESCRIPTION:We will conclude the CCMS Fall Colloquium Series with a Pre-Colloquium Reception followed by a talk (details below). \nPre-Colloquium Reception will begin at 3:30pm with foods and drink in the Estella Atrium. \nFollowing the reception\, the colloquium talk will start at 4:30pm (Notice the change in time.) \n_____________________ \nSpeaker: Shahriar Shahriari\, Professor of Mathematics and Statistics\, Pomona College\, Claremont\, CA \nTitle:  Combinatorial Connections: HyperCubes & Vector Spaces Over Finite Fields \nAbstract: Abstractions allow us to see connections between familiar objects. In extremal set theory\, often the aim is to find the largest or smallest collection of subsets with a specific property. Using the lens of partially ordered sets\, one can investigate vector spaces over finite fields using vaguely similar techniques. If V is an n-dimensional vector space over a finite field\, then how many k-dimensional subspaces can you find so that your collection does not include three distinct subspaces A\, B\, and C with A = (A\cap B) \oplus (A \cap C)? How many subspaces of any dimension can you find so that your collection does not include three distinct subspaces A\, B\, and C with either $A  \subseteq B \cap C$ or $B+C \subseteq A$? These puzzles will illustrate the connections between combinatorics of finite sets and of vector spaces. \nBio:  Shahriari is the William Polk Russell Professor of Mathematics at Pomona College. He has had the privilege of teaching/mentoring generations of talented students\, many of whom are now teaching in universities and colleges across the country. \nIn 2015\, Shahriar Shahriari received a Mathematical Association of America Deborah and Franklin Tepper Haimo Award for Distinguished Teaching in Mathematics for his commitment to bringing more students from underrepresented groups into the field of mathematics — widely considered the nation’s top prize for teaching mathematics. He is a five-time winner of Pomona College’s Wig teaching award. Known for classes that encourage student-driven discovery\, he published the materials for his honors Calculus class as a textbook\, titled Approximately Calculus\, which won the American Library Association’s Choice Award for Outstanding Academic Title in 2007. Shahriari has published three texts: “Approximately Calculus”\, “Algebra in Action”\, and “An Invitation to Combinatorics”\, and over 50 articles\, many coauthored with undergraduate students.
URL:https://colleges.claremont.edu/ccms/event/shahriar-shahriari-ccms-fall-2024/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
GEO:34.0999157;-117.7142668
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