Bicuspid aortic valve with right‐sided aortic arch aneurysm and Kommerell's diverticulum
Bicuspid aortic valve (BAV) is a common congenital cardiac malformation, frequently combined with ascending aorta dilation. However, isolated abnormalities of the aortic arch are less frequent in BAV patients. Here, we present a rare case of BAV combined with right-sided aortic arch aneurysm, aberrant left subclavian artery, and Kommerell's diverticulum, diagnosed by echocardiography and computed tomography angiography. The patient was followed-up regularly because of the life-threatening risks of aortic arch aneurysms.
Berglund-H\"ubsch duality is an example of mirror symmetry between orbifold Landau-Ginzburg models. In this paper we study a D-module-theoretic variant of Borisov's proof of Berglund-H\"ubsch duality. In the $p$-adic case, the D-module approach makes it possible to endow the orbifold chiral rings with the action of a non-trivial Frobenius endomorphism. Our main result is that the Frobenius endomorphism commutes with Berglund-H\"ubsch duality up to an explicit diagonal operator.