2 citations · 2 across the 2 of their papers we have counts for
7 papers
Rank-2 attractors and Fermat type CY -folds
Wenzhe Yang
The Fermat type Calabi-Yau -fold, denoted by , is the hypersurface of defined by , which is the smooth fiber over…
Rank-2 attractors and Deligne's conjecture
Wenzhe Yang
In this paper, we will study the arithmetic geometry of rank-2 attractors, which are Calabi-Yau threefolds whose Hodge structures admit interesting splits. We will develop methods…
Deligne's conjecture and mirror symmetry
Wenzhe Yang
In this paper, we will study the connections between the mirror symmetry of Calabi-Yau threefolds and Deligne's conjecture on the special values of the -functions of critical mo…
Seiberg-Witten theory and modular lambda function
Wenzhe Yang
In this paper, we will apply the tools from number theory and modular forms to the study of the Seiberg-Witten theory. We will express the holomorphic functions , which gen…
The Gamma conjecture for -functions
Wenzhe Yang
The Bombieri-Dwork conjecture predicts that the differential equations satisfied by -functions come from geometry. In this paper, we will look at special -functions whose dif…
Apéry's irrationality proof, Beukers's modular forms and mirror symmetry
Wenzhe Yang
In this paper, we will apply the ideas from the mirror symmetry of Calabi-Yau threefolds to study the modular forms and one-parameter family of K3 surfaces found by Beukers and Pet…