For a complete list see my CV.įebruary 2021, RAMpAGe (Recent Advances in Modern p -adic Geometry) Seminar, Zoom talk (upcoming)įebruary 2021, Number Theory Seminar, University of Rochester (upcoming Zoom talk) Here is a list of selected research talks. Although my research has strayed from these topics, I still have a lingering interest. My thesis was on p-adic modular forms and p-adic L-functions. One is naturally leads to the concept of F-crystals with logarithmic decay, which is the subject of several of my articles.
p-adic representations can have infinite monodromy), they satisfy some mysterious and miraculous properties. While these representations do not share the same nice properties as their l-adic counterparts (e.g.
This encompasses representations arising from p-adic Tate modules and p-adic etale cohomology for varieties in characteristic p. I have also done a good amount of work on p-adic representations that arise from slope filtration of F-isocrystals. The methods developed in this work have been further applied to Daqing Wan's program on the behavior of p-adic slopes along p-adic towers of curves. In particular, I have resolved a conjecture of Deligne, that the irregular Hodge filtration of an exponential differential equation on a Riemann surface forces bounds on the p-adic valuations of Gauss sums on curves (see the articles starting with " p-adic estimates".) This conjecture gives concrete p-adic estimates for exponential sums and character sums on curves. Recently I have been applying methods from p-adic cohomology to study L-functions on curves in characteristic p>0. Flexible controls allow the VCO-16 to be controlled either the front OSD (On-Screen Display), or via the built-in Web browser.Most of my research involves p-adic methods applied to algebraic geometry.
KRAMER NUMBER SOFTWARE
This device is extremely user friendly, with feature rich software content that allows users in the design, scheduling and display of their digital signage content. Being web browser based the unit can be accessed securely from anywhere around the world through any Web browser. Another beneficial feature is it allows for centralized control of all promotional overlays, with support for unlimited number of overlays and displays. For multiple applications there are multiple overlay templates, and with the built-in looping output users can daisy chain any number of displays together.
KRAMER NUMBER FULL
Overlays can be of any size, and users have full transparency control of their overlaid content. The VCO-16 video content display device can provide full HD overlays in static or animated, dynamic colored images.
KRAMER NUMBER TV
Making this an ideal solution for hotel lobbies, lounges, conference rooms, guest rooms, or on TV screens in sports bars, fitness centers, nightclubs, or special venues. Whether it's to provide visitor information, messages, promotional marketing information, restaurant specials, or emergency alerts, the VCO-16 can overlay the selected image on your current display network. This allows owners to give customers, patrons, or guests, extremely precise and targeted information pertaining to exactly your business needs, for each and every display in your installation. The VCO-16 is a web-based video content overlay solution that works by overlaying sixteen independent graphic image to any number of displays over a standard HDMI cable in full HD 1080p/60 or 1920x1200 resolution qualities. The Kramer VCO-16 is a 16-port video content overlay device that is an amazing piece of hardware designed for users wanting to expand on their current digital signage applications.