Week of Events
Applied Math Talk: Bounded-confidence models for opinion dynamics on online social networks given by Professor Heather Zinn Brooks (HMC)
Applied Math Talk: Bounded-confidence models for opinion dynamics on online social networks given by Professor Heather Zinn Brooks (HMC)
Online social media networks have become extremely influential sources of news and information. Given the large audience and the ease of sharing content online, the content that spreads on online social networks can have important consequences on public opinion, policy, and voting. To better understand the online content spread, mathematical modeling of opinion dynamics is becoming […]
Prof. Grigoriy Blekherman
Prof. Grigoriy Blekherman
Title: Nonnegative Polynomials and Sums of Squares Abstract: Is x4-2x3+7x2-2x+1 nonnegative for any value of x? One way of showing that this holds is by writing x4-2x3+7x2-2x+1=1/2(x2-3x+1)2+1/2(x2+x+1)2. Studying the relationship between non-negativity and sums of squares has a distinguished history in mathematics starting with work of David Hilbert and Hilbert's 17th problem. I will discuss […]