A new approach to the geometric Satake equivalence

I give another proof of the geometric Satake equivalence from Mirkovic-Vilonen over a separably closed field. Using Galois descent, I obtain a canonical construction of the Galois form of the full $L$-group

Experiences with the GTU grammar development environment

In this paper we describe our experiences with a tool for the development and testing of natural language grammars called GTU (German: Grammatik-Testumgebumg; grammar test environment). GTU supports four grammar formalisms under a window-oriented user interface. Additionally, it contains a set of German test sentences covering various syntactic phenomena as well as three types of German lexicons that can be attached to a grammar via an integrated lexicon interface. What follows is a description of the experiences we gained when we used GTU as a tutoring tool for students and as an experimental tool for CL researchers. From these we will derive the features necessary for a future grammar workbench.Comment: 7 pages, uses aclap.st

Spaces with Gm\mathbb{G}_m-action, hyperbolic localization and nearby cycles

We study families of algebraic spaces with a fiberwise $\mathbb{G}_m$-action and prove Braden's theorem on hyperbolic localization for arbitrary base schemes. As an application, we obtain that hyperbolic localization commutes with nearby cycles

Near-Field Communication Technology: Regulatory and Legal Recommendations for Embracing the NFC Revolution

Despite its ease and convenience, NFC technology raises a number of privacy issues. Chief among these concerns are the collection, retention, and usage of personally-identifying information contained within NFC-enabled devices by both private and public entities. Within that category, the most pressing privacy issues inherent in the collection and usage of such information relate to real-time tracking or after-the-fact habit profiling and identity theft. As well, privacy issues persist around the means used, if any, to secure and protect that information from unauthorized third parties both at the end-user and systemic database levels. In light of these concerns, it is useful to examine the Japanese approach to NFC technology, both dealing with the physical technology itself, and the system of networks and databases in which that technology operates. Japan provides a strong model for comparison given the country’s long-standing use of NFC technology, and robust privacy-protection laws and industry guidelines which exist in relation to NFC usage. While privacy protection legislation exists in Canada, compliance is lacking and enforcement powers virtually non-existent for privacy commissioners. Amending Canada’s privacy legislation by taking cues from the Japanese model will allow Canada to better anticipate, and embrace, the “e-wallet revolution”

Frobenius rigidity in A1\mathbb A^1-homotopy theory

We study the homotopy fixed points under the Frobenius endomorphism on the stable $\mathbb A^1$-homotopy category of schemes in characteristic $p>0$ and prove a rigidity result for cellular objects in these categories after inverting $p$. As a consequence we determine the analogous fixed points on the $K$-theory of algebraically closed fields in positive characteristic. We also prove a rigidity result for the homotopy fixed points of the partial Frobenius pullback on motivic cohomology groups in weights at most $1$.Comment: 15 pages. Minor corrections. Comments welcome

Affine Grassmannians and Geometric Satake Equivalences

The work deals with the geometric Satake equivalence. A new proof is given in the case of a split connected reductive group. Further the work extends the ramified geometric Satake equivalence from tamely ramified groups to include the case of general connected reductive groups. As a prerequisite basic results on the geometry of affine flag varieties are proven