Real circles tangent to 3 conics
Speaker:
Julia Lindberg, University of Texas at Austin
Date and Time:
Tuesday, June 4, 2024 - 9:30am to 10:30am
Location:
Fields Institute, Room 230
Abstract:
Steiner’s problem is a classic problem in enumerative geometry which asks how many conics are tangent to 5 generic conics. In this talk I will discuss a variant of Steiner’s problem which asks how many circles are tangent to three conics. I will discuss recent work which shows that there are generically 184 complex circles tangent to three conics as well as efforts made towards understanding the real analogue of this problem. If time permits, I will discuss a machine learning model we considered that, given three real conics, predicts the number of circles tangent to these three conics. This is joint work with Paul Breiding, Wern Juin Gabriel Ong and Linus Sommer.