Pizza will be served today. See you all there!
Dear GMS,
I hope this message finds you well!
Our second seminar will take place on
8th of October, Wednesday in 123 St. Paul's between
12:30 and 13:30. Our speaker is Jaskaran Kaire. The details about his talk are below.
Title: Illumination number of cap bodies in small dimensions
Abstract: Despite recent progress on the Illumination conjecture, it remains open in general, as well as for specific classes of bodies. Bezdek, Ivanov, and Strachan showed that the conjecture holds for symmetric cap bodies (a specific class of
convex bodies) in sufficiently high dimensions. Further, Ivanov and Strachan calculated the illumination number for the class of 3-dimensional centrally symmetric cap bodies to be 6.
In this talk/presentation, I will show that even the broader class of all 3-dimensional cap bodies has the same illumination number 6. In addition, I will show that the conjecture also holds for any n-dimensional cap bodies, where 3 < n < 20. The proof is based
on probabilistic arguments and integer linear programming.
This talk is based on joint work with A. Arman and A. Prymak.
The seminar can also be accessed from Zoom:
Meeting ID: 619 0474 9902
Passcode: 846191
We will be serving pizza this week. See you all in the seminar!
GMS Executive