"The wealth of very precise data collected by the Tevatron and LHC experiments is offering the possibility of new high-precision tests of the Standard Model. In this talk I will review the status of the determination of two important pseudo-observables of the EW sector: the W boson mass and the sinus of the weak mixing angle. I will discuss the challenges that have to be faced at the LHC to achieve results competitive with those from LEP and from the Tevatron. Eventually, I will briefly summarize the impact of these high precision studies in view of the searches for signals of physics beyond the Standard Model."

"The phenomenon of frustrated magnetism arising out of geometrical arrangement of magnetic ions is one of the modern topics of research in condensed matter physics. It is in general believed that the spin-glass behavior, if observed in such geometrically frustrated systems, is not intrinsic to this phenomenon, but due to finite disorder, in contrast to earlier proposals. In this talk, I will present novel magnetic behavior arising out of geometrical frustration in the intermetallics, R3Ru4Al12 (R= Rare-earths), in which the magnetic R ions are arranged in the form of a ‘kagome’ net. On the basis of observed systematics, we propose that spin-glass anomalies could be intrinsic, at least in this family, but could be of an exotic type."

"The prime spectrum of an MV-algebra is a spectral space, but not any spectral space is homeomorphic to the prime spectrum of an MV-algebra. The characterization of the class of spectral spaces arising as the spectrum of an MV-algebra is an important open problem in the theory of MV-algebras."