Abstract Inspired by the works of Hitchin and Huybrechts, we introduce a formulation of mirror symmetry for generalized K3 surfaces by Mukai lattice polarizations. This formulation is compatible wi
Abstract Symmetry is a central concept for classical and quantum field theory, usually, symmetry is described by a finite group or Lie group. In this talk, we introduce the weak Hopf algebra
Abstract The gut microbiota is vital for digestive health and immune function. However, current research tends to focus on individual microbial strains, missing the broader understanding
Abstract: The theory of Mixed-Spin fields was introduced by Chang-Li-Li-Liu for the quintic threefold, aiming at studying its higher genus Gromov-Witten invariants. Chang-Guo-Li has successfully
Abstract We discuss several results on ongoing work in collaboration (with I. Gaiur & D. Van Straten and with V. Buchstaber & I. Gaiur) on interesting properties of multiplicative generalized Besse...
Abstract Consider two copies of the same $G(n,p)$ graph and erase independently the edges of each copy with probability $t < p$. This procedure creates two correlated random graphs. We discuss
Abstract: I will present limit theorems for random walks on nilpotent Lie groups, obtained in a recent work with Emmanuel Breuillard. Most works on the topic assumed the step distribution of the w...
Abstract: We will discuss some connections between topology and number theory inspired by the studies of mapping degrees and achirality of manifolds.
Abstract: In this talk we will discuss several stochastic epidemic models recently developed to account for general infectious durations, infection-age dependent infectivity and/or progress loss