Dear GMS,
I hope you're all doing well!
We will have a seminar on 22th of October, Wednesday in 123 St. Paul's between 12:30 and 13:30. Our speaker is @Marshall Kaatz<mailto:kaatzm1@myumanitoba.ca>. The details about his talk are below.
Title: Building the foundations for a new Ramsey-type problem
Abstract: Ramsey numbers have gained notoriety over the last century for the difficulty of computing exact values or even improving known bounds, and have given rise to a large family of Ramsey-type problems. The classical theorem of Ramsey can be rephrased in terms of independent sets: in large enough graphs, either the graph or its complement will have a large independent set.
In this talk, I present a natural analogous problem to that of the classical Ramsey numbers. Observing that an independent set is a special case of an acyclic set in a graph — that is, a set of vertices which induces no cycles — we instead study how in large enough graphs, either the graph or its complement will have a large acyclic set. In addition to presenting key theorems and constructions, I will discuss some small non-trivial exact values and best-known bounds.
The seminar can also be accessed from Zoom:
https://umanitoba.zoom.us/j/61904749902?pwd=NBzY0WN8ItdlMq2fZiKCpb1uPf8L8i.1
Meeting ID: 619 0474 9902
Passcode: 846191
See you all in the seminar!
GMS Website<https://sites.google.com/view/umgradmathsociety/> / Instagram<https://www.instagram.com/umgradmathsociety/>
Sincerely,
Berkant<https://cnnk.xyz>
GMS Executive
Dear all,
This is a gentle reminder that we have a seminar today in 123 St. Paul's between 12:30 and 13:30. Our speaker is Jaskaran Kaire. You can find more information about his talk in the previous email.
Pizza will be served today. See you all there!
Sincerely,
Berkant<https://cnnk.xyz>
GMS Executive
________________________________
From: Berkant Cunnuk <cunnukb(a)myumanitoba.ca>
Sent: Monday, October 6, 2025 5:13 PM
To: um-gms(a)lists.umanitoba.ca <um-gms(a)lists.umanitoba.ca>
Subject: Grad Seminar on October 8, Wednesday
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:
https://umanitoba.zoom.us/j/61904749902?pwd=NBzY0WN8ItdlMq2fZiKCpb1uPf8L8i.1
Meeting ID: 619 0474 9902
Passcode: 846191
We will be serving pizza this week. See you all in the seminar!
GMS Website<https://sites.google.com/view/umgradmathsociety/> / Instagram<https://www.instagram.com/umgradmathsociety/>
Sincerely,
Berkant<https://cnnk.xyz>
GMS Executive
