Ohio State nav bar

Radical Pi Meeting

math_sculpture
November 2, 2016
5:00PM - 6:00PM
Math Building 052 (Undergrad Math Study Space)

Date Range
Add to Calendar 2016-11-02 17:00:00 2016-11-02 18:00:00 Radical Pi Meeting Title: Staying positive: from networks to matricesSpeaker: Rachel Karpman (The Ohio State University)Abstract: An n-by-n matrix is totally positive if all of its minor determinants are positive numbers. Matrices with this property have important applications in mathematical physics. However, it's not obvious that totally positive matrices of all sizes even exist! In this talk, we will give a way to construct totally positive matrices, using a remarkable connection between matrices and networks. There will be lots of pictures. No background on networks or graph theory is needed for the talk. A bit of exposure to linear algebra (matrix multiplication and determinants) will be helpful, but not necessary. Math Building 052 (Undergrad Math Study Space) Department of Mathematics math@osu.edu America/New_York public

Title: Staying positive: from networks to matrices

Speaker: Rachel Karpman (The Ohio State University)

Abstract: An n-by-n matrix is totally positive if all of its minor determinants are positive numbers. Matrices with this property have important applications in mathematical physics. However, it's not obvious that totally positive matrices of all sizes even exist! In this talk, we will give a way to construct totally positive matrices, using a remarkable connection between matrices and networks. There will be lots of pictures. No background on networks or graph theory is needed for the talk. A bit of exposure to linear algebra (matrix multiplication and determinants) will be helpful, but not necessary.

Events Filters: