Geometry Seminar of ICMS

Institute of Mathematics and Informatics, BAS Akad.G.Bonchev St, bl. 8, 1113, Sofia

The next session of the Geometry Seminar of ICMS will be held on Wednesday, May 7, 2025, at 4:00 pm, in room 403 and via Zoom. A talk on: Binary Quadratic Forms and Conway’s Topographs (Lecture 2 of 3) will be delivered by Nikita Kalinin, Guangdong Technion Israel Institute of Technology. The next lecture will be held on 14.05.2025 at 4:00 pm. Abstract: Binary quadratic forms are as elementary as they are mysterious—much like prime numbers. In 1997, John Conway introduced topographs, a powerful geometric tool that provides a geometric visualization of binary quadratic forms and their values. These lectures will explore how topographs, combined with telescoping summation techniques, yield elegant formulas — some with intuitive geometric interpretations. For instance, consider the following result: [...]