Dear Colleagues and Students,<\/p>\n
You are cordially invited to the Algebra Seminar organized by the Department of Mathematics.<\/p>\n
Title: Eigenvalues of characters, Adams operations, and Feit’s conjecture.<\/p>\n
Speaker: Robert Boltje (University of California, Santa Cruz)<\/p>\n
Abstract: We introduce an integer $S(G,\\chi,n)$ associated to a finite group $G$, a character $\\chi$ of $G$ and a positive divisor $n$ of the exponent of $G$. It can be defined in two different ways: As the sum of certain coefficients of the canonical induction formula of $\\chi$, or as the multiplicity of the trivial character in an alternating sum of Adams operations of $\\chi$. It turns out that this integer is always non-negative and that it is positive if and only if there exists an eigenvalue of order $n$ for one of the matrices appearing in a representation affording $\\chi$. This is joint work with Gabriel Navarro and is motivated by the Feit Conjecture. No further knowledge than some character theory is necessary.<\/p>\n
Date: 9 September 2026
\nTime: 15:30
\nPlace: SA-141<\/p>\n","protected":false},"excerpt":{"rendered":"
Dear Colleagues and Students, You are cordially invited to the Algebra Seminar organized by the Department of Mathematics. Title: Eigenvalues of characters, Adams operations, and Feit’s conjecture. Speaker: Robert Boltje (University of California, Santa Cruz) Abstract: We introduce an integer $S(G,\\chi,n)$ associated to a finite group $G$, a character $\\chi$ [\u2026] <\/p>\n