6 citations · 20 across the 10 of their papers we have counts for
10 papers
The -category of spans
Jonte Gödicke, Quoc P. Ho, Walker H. Stern
In this paper, we construct the -category of spans, also known as correspondences, in any given -category $\mathcal…
Quantum Speed Limit and Optimal Evolution Time in Driven-dissipative Systems
Sarfraj Fency, Riddhi Chatterjee, Rangeet Bhattacharyya
Quantum Speed Limit (QSL) is a lower bound on the evolution time of a closed quantum system to evolve from one state to another, as shown by Mandelstam and Tamm. For…
Graded character sheaves, HOMFLY-PT homology, and Hilbert schemes of points on
Quoc P. Ho, Penghui Li
Using a geometric argument building on our new theory of graded sheaves, we compute the categorical trace and Drinfel'd center of the (graded) finite Hecke category $\mathsf{H}_W^\…
Revisiting mixed geometry
Quoc P. Ho, Penghui Li
We provide a uniform construction of "mixed versions" or "graded lifts" in the sense of Beilinson-Ginzburg-Soergel which works for arbitrary Artin stacks. In particular, we obtain…
Eisenstein series via factorization homology of Hecke categories
Quoc P. Ho, Penghui Li
Motivated by spectral gluing patterns in the Betti Langlands program, we show that for any reductive group , a parabolic subgroup , and a topological surface , the (enhanc…
Higher representation stability for ordered configuration spaces and twisted commutative factorization algebras
Quoc P. Ho
Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) c…
Homological stability and densities of generalized configuration spaces
Quoc P. Ho
We prove that the factorization homologies of a scheme with coefficients in truncated polynomial algebras compute the cohomologies of its generalized configuration spaces. Using Ko…
The Atiyah-Bott formula and connectivity in chiral Koszul duality
Quoc P. Ho
The -monoidal structure on the category of sheaves on the space is not pro-nilpotent in the sense of Francis-Gaitsgory. However, under some connectivi…
Free factorization algebras and homology of configuration spaces in algebraic geometry
Q. P. Ho
We provide a construction of free factorization algebras in algebraic geometry and link factorization homology of a scheme with coefficients in a free factorization algebra to the…
Average size of 2-Selmer groups of elliptic curves over function fields
Q. P. Ho, B. V. Le Hung, B. C. Ngo
Employing a geometric setting inspired by the proof of the Fundamental Lemma, we study some counting problems related to the average size of 2-Selmer groups and hence obtain an est…