Goal of Conference 2 1. Matt Emerton: Classical Modular Forms to Automorphic Forms 2 1.1. The Growth Condition 3 1.2. Passage to Representation Theory 4 2. David Nadler: Real Lie Groups 5 2.1. Basic Notions 5 2.2. Examples 5 2.3. Classification 6 2.4. Useful Decompositions 7 3. Jacob Lurie: Lie Theory and Algebraic Groups 8 3.1. Classification 9 4. Jacob Lurie: Representations of algebraic grou...

A classical result of Massera in his landmark paper [1] says that a necessary and sufficient condition for an ω-periodic linear scalar ordinary differential equation to have an ω-periodic solution is that it has a bounded solution on the positive half line. Since then, there has been an increasing interest in extending this classical result to various classes of functions (such as anti-periodic...

Automorphic Lie Algebras are interesting because of their fundamental nature and their role in our understanding of symmetry. Particularly crucial is their description and classification as it allows us to understand and apply them in different contexts, from mathematics to physical sciences. While the problem of classification of Automorphic Lie Algebras with dihedral symmetry was already cons...

We prove that there are two minimal 1 classes that are not automorphic.

We work out the relation between automorphic forms on SO(2 + s, 2, Z) and gauge one–loop corrections of heterotic K3×T 2 string compactifications for the cases s = 0, 1. We find that one–loop gauge corrections of any orbifold limit of K3 can always be expressed by their instanton numbers and generic automorphic forms. These functions classify also one– loop gauge thresholds of N=1 (0, 2) hetero...

We focus on the presence of almost automorphy in strongly monotone skew-product semiflows Banach spaces. Under $C^1$-smoothness assumption, it is shown that any linearly stable minimal set must be automorphic. This extends celebrated result Shen and Yi [Mem. Amer. Math. Soc. 136(1998), No. 647] for classical $C^{1,\alpha}$-smooth systems. Based this, one can reduce regularity periodically force...

We prove that there are two minimal 0 1 classes that are not automorphic.