司靈得 (Daniel Spector)

Upcoming Events 
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Date:  Tuesday, 3 Mar. 2026, 09:00-10:00 TST (GMT+8) , in Room M212 in NTNU Gongguan Campus Mathematics Building
Speaker: Long Huang
Title: TBA  
Abstract: TBA 

Date:  Tuesday, 10 Mar. 2026, 15:00-16:00 TST (GMT+8) , in Room M212 in NTNU Gongguan Campus Mathematics Building
Speaker: Gabriele Cassese 
Title: TBA  
Abstract: TBA  

Date:  Tuesday, 28 Apr. 2026, 15:00-16:00 TST (GMT+8) , in Room M212 in NTNU Gongguan Campus Mathematics Building
Speaker: Paolo Bonicatto, University of Trento
Title: Geometric Transport Equation for currents: recent developments   
Abstract:
I will report on recent results concerning the Geometric Transport Equation for \(k\)-dimensional currents in \(\mathbb{R}^n\). This equation generalises the classical continuity and transport equations to model the motion of geometric objects such as lines and surfaces. I will discuss well-posedness results for Lipschitz velocity fields, highlighting a deep connection with the notion of decomposability bundle of a measure (introduced by Alberti and Marchese). This theory further extends to the time-dependent setting with minimal regularity in time of the vector field, thus offering a unified framework for the evolution of geometric data under non-smooth flows. If time allows, I will also outline a recent approach to the classical Frobenius’ theorem via the transport of currents. The vanishing bracket condition is recast into transport identities that remain meaningful even when one of the vector fields is a normal \(1\)-current and this perspective sheds light on some Alfvén-type statements in magnetohydrodynamics.