معرفی
Prof. Dr. Charles Vial is a Professor at the Faculty of Mathematics of Bielefeld University. He actively contributes to the Collaborative Research Center TRR 358, leading subprojects C01 (Hyper-Kähler Varieties and Moduli Spaces), C07 (Derived Splinters and Full Exceptional Collections), and C08 (Cohomological Structures of Hyper-Kähler Varieties). His work bridges algebraic geometry, motives, and representation theory.
Research Interests include algebraic cycles, Chow motives, hyper-Kähler varieties, K3 surfaces, derived categories, and cohomological structures. He investigates the interplay between geometric objects and their algebraic representations, particularly focusing on filtrations, splinter properties, and universal domains.
Scientific Contributions are evident in his recent publications (2025–2019), which explore diagonal decompositions, Fourier-Mukai equivalences, birational motives, and cohomological conjectures. His work spans topics like the generalized Franchetta conjecture, zero-cycle analysis, and motivic Torelli theorems, often collaborating with researchers such as Jeffrey Achter, Lie Fu, and Sebastian Casalaina-Martin.
Projects involve international collaborations under the TRR 358 initiative, aiming to resolve conjectures related to derived splinters, exceptional collections, and hyper-Kähler moduli spaces. His research is funded by the German Research Foundation.