Pure Math Breakthroughs: Alg Geom Atoms Theory and Categorical Hierarchies [developing]
Key Questions
What are the key pure math breakthroughs in algebraic geometry covered?
The highlight includes IMPA conference on Hodge theory, Gromov-Witten invariants, birational geometry, and 'atoms' theory by Katzarkov and Kontsevich. Upcoming events are planned for May 2026 at IMPA/Unicamp/Miami.
What is the new arXiv on Hamiltonian meromorphic connections?
It provides explicit Hamiltonian representations of meromorphic connections in gl(3,C) with unramified irregularities. The study explores ħ-deformed connections.
What is the scaling limit of random walk on planar critical percolation?
The arXiv paper analyzes the scaling limit of random walk and intrinsic metric on planar critical percolation clusters. It derives continuum limits for discrete processes.
How do trees and Cantor space relate to effective computation?
A survey explores the scope of effective computation in trees and Cantor space within formal axiomatic systems. It emphasizes theoretical limits of computability.
What are topological remarks on end and edge-end spaces?
The arXiv discusses modifying graph ends as equivalence classes of infinite rays, focusing on topological properties of end and edge-end spaces in infinite graphs.
IMPA conf Hodge theory, Gromov-Witten birational geometry 'atoms' theory Katzarkov/Kontsevich (ex-ac240ce8); recursive preference functors categorical hierarchies decision/finance (ex-167e132c). New arXiv: Hamiltonian meromorphic connections gl(3,C) (ex-956c22a3); scaling limit random walk percolation (ex-023b9f94); regular triangle unions comb geom (ex-be21564a); topological ends edge-ends (ex-0db2d180); modulus Poincaré metric spaces (ex-24509696); quasi-corona graph spectra (ex-84fd9f15); trees Cantor effective computation (ex-e6177721). May '26 IMPA/Unicamp/Miami.