Integral Geometry of Algebraic Varieties

The event titled Integral Geometry of Algebraic Varieties will be held at the Institute for Computational and Experimental Research in Mathematics (ICERM) in Providence, United States. This workshop delves into the intriguing field of integral geometry, focusing on the averaging of geometric properties of submanifolds within homogeneous spaces. It traces its roots back to the classical Buffon's needle problem, exploring the mathematical foundations of probability and expectation in geometric contexts. The workshop will primarily concentrate on recent advancements in integral geometry as they pertain to (real) algebraic varieties, thereby establishing important connections with intersection theory and convex geometry. The algebraic framework of the discussions aims to facilitate effective studies of average properties, which can have practical applications in sampling methods.Participants in the workshop include faculty, postdocs, graduate students, industry scientists, and other researchers interested in the subject matter. Graduate students wishing to attend must have a supporting statement from their advisors to be considered for participation. The event will feature both virtual and in-person presentations as indicated in the schedule, ensuring accessibility for a wider audience. ICERM, located within Brown University, provides a conducive environment for collaboration and learning, with resources available for attendees, including Eduroam access and various technological supports. ICERM is committed to fostering a welcoming atmosphere that embraces diversity and upholds professional standards. Additionally, the workshop's structure allows for networking and interaction among participants, contributing to the advancement of knowledge in the field of integral geometry. The culinary scene in Providence offers a variety of dining options for attendees, and the local historic districts provide additional attractions for those visiting the area.