Special Year Seminar

In the second talk, I will concentrate on polynomial inequalities and whether the defect (the difference of two sides) has a combinatorial interpretation.  For example, does the inequality  $x^2+y^2 \geq 2xy$  have a combinatorial proof and what does that mean?  There is a surprisingly clean answer of the most general questions of this kind which can be presented in purely algebraic terms.

Joint work with Christian Ikenmeyer (FOCS 2022).