Titles and Abstracts

Paper Titles and Abstracts

Titles and Abstracts

The role of measurement in quantum theory remains both perplexing and controversial, especially for no-collapse interpretations (e.g., many-worlds, or the ``existential'' view). One of the outstanding challenges in these frameworks is to explain preferred bases -i.e., why measurements and observations always break unitary invariance. In this talk, I'll present a framework, motivated by informat...

Titles and Abstracts

In condensed matter physics, it is known that some topological properties of quantum systems are related to the topology of the Hamiltonian operator as a self-adjoint operator with a spectral gap. In particular, recent researches reveal that symmetries of quantum systems, such as time-reversal or particle-hole symmetries, provide a rich physical and mathematical theory. In this talk, we introdu...

Titles and Abstracts

Instances of such “arithmetic 1-extensions” naturally arise in arithmetic geometry and in geometry of numbers. In this talk we discuss an arithmetic analog of the Enriques-Severi-Zariski Lemma in classical algebraic geometry: namely, if X is a projective integral scheme over SpecZ and if the class of EQ in the classical extension group Ext1XQ(EQ, FQ) does not vanish, then for “many” points P in...

Inappropriate titles of abstracts.