A joint meeting of the ICMS Seminar and the "Algebra and Logic" Seminar will be held next Tuesday, with a talk by Georges Tomanov. The details are as follows. Tuesday, April 29-th, 2:00 pm, in room 403 of IMI-BAS. Georges Tomanov, Université Claude Bernard, Lyon 1. Group action on homogeneous spaces and applications in number theory Abstract:Many longstanding conjectures and problems in number theory can be reformulated in terms of group actions on homogeneous spaces. This reformulation allows them to be tackled using, alongside deep methods from algebra and algebraic geometry, powerful tools from ergodic theory and dynamical systems. An example of the effectiveness of this approach is Margulis's groundbreaking proof of the Oppenheim conjecture (formulated in 1929) concerning the values of quadratic forms at integer points. [...]
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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: [...] |
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A meeting of the ICMS seminar will be held on May 13, 2205, at 2:00 pm, in Room 403 of IMI - BAS. Speaker: Milan Zlatanovic (University of Niš) Title: Non-symmetric gravitational theorys Abstract: We will consider a connection with totally skew-symmetric torsion on non-symmetric (semi-) Riemann manifolds that satisfy Einstein’s metric condition (EMC). We proved that an almost Hermitian manifold is a non-symmetric Riemann manifold that satisfies EMC if and only if it is a Nearly Kahler manifold. We will also show what happens in the case of para Hermitian manifold, contact, and para-contact manifolds that satisfy EMC. We show that a connection with skew symmetric torsion satisfying EMC exists on an almost contact metric manifolds when it is D-homothetic to a cosymplectic manifold. [...] |
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