# Emil Grosswald Lectures

February 2018

## Bernd Sturmfels

University of California Berkeley

*On the Quadratic Equation*

Monday February 26, 2018 at 16:00, SERC 110-A

High school students learn how to express the solution of a quadratic equation in one unknown in terms of its three coefficients. This lecture asks the why question, and it offers an emphatic answer, by discussing the nature of mathematics and its non-linear models.

*Sixty-Four Curves of Degree Six*

Tuesday February 27, 2018 at 16:00, Wachman 617

University of California, Berkeley

This lecture is an invitation to real algebraic geometry, along with computational aspects, ranging from bitangents and K3 surfaces to eigenvectors and ranks of tensors. We present an experimental study - with many pictures - of smooth curves of degree six in the real plane. The number 64 refers to rigid isotopy types in the Rokhlin-Nikulin classification.

*The Geometry of Gaussoids*

Wednesday February 28, 2018 at 12:00, Wachman 617

University of California, Berkeley

Gaussoids offer a new link between combinatorics, statistics and algebraic geometry. Introduced by Lnenicka and Matus in 2007, their axioms describe conditional independence for Gaussian random variables. We explain this theory and how it relates to matroids. The role of the Grassmannian for matroids is now played by a projection of the Lagrangian Grassmannian. We discuss the classification and realizability of gaussoids, and we explore oriented gaussoids, valuated gaussoids, and the analogue to positroids.

## Past Grosswald Lectures

April 1991 | March 1992 | March 1993 | April 1994 | November 1994 | April 1996 | October 1996 | January 1997 | April 1998 | April 1999 | March 2000 | March 2001 | March 2002 | October 2003 | April 2004 | March 2005 | November 2006 | November 2007 | November 2008 | April 2009 | April 2010 | February 2012 | April 2012 | September 2013 | September 2014 | October 2015 | September 2016 | February 2018 | October 2018 | September 2019