Minicourse on Convex Geometry

This mini-course covers the basics of convex geometry with a focus on combinatorial and algebraic structures. Optimization serves as motivation. Lectures and exercise sessions on the fundamentals lead into problem-solving sessions that explore research questions.

Currently all sessions are planned to be virtual. Familiarity with basics on convex sets, discrete geometry, and algebraic methods is a plus, but will not be assumed. Fundamentals will be covered in the lectures. This includes introductions to:

• Convex optimization
• Facial structure of convex bodies
• Non-polyhedral convex bodies such as spectrahedra

Participants will be given an opportunity to present research questions they are interested in or working on. Registration is open until June 28, 2021.

Community agreement

Our aim is to have a fun and supportive environment where all participants feel welcome, safe, and included. We encourage everyone in the minicourse to actively help in creating such spaces in order to help us all learn about convex geometry together.

We are committed to creating a course which is welcoming to all participants regardless of gender identity and expression, nationality, ethnicity, race, religion, age, disability, mathematical background, or any other factor. As such, we will not tolerate any form of discrimination or harassment. Given the diversity of folks joining us, please remember to be mindful of the fact that some words and behaviors may be offensive to some even if they are not to others. We therefore ask that all participants take care to be respectful to one another.

If you are being harassed, made to feel uncomfortable with the way you are being treated, notice someone else being harassed, or if you have any other concerns, please contact the organizers. All reports will be handled in the strictest confidentiality and will be taken seriously.

Acknowledgement. This agreement is based on the community agreement created by the ECCO organizers for the “Encuentro Colombiano de Combinatoria'' conference and the QTMC organizers for the “Queer and Trans Mathematicians in Combinatorics” conference.