In what level of generality are galois representations associated to eisenstein series for GL_n understood?

Galois representations had been associated to cusp forms over modular curves for the full modular group (the work of Deligne and the Eichler-Shimura construction) for any weight >=2,...

02 March 2017 2,946 1 View

What's the connection of crystalline cohomology with fppf cohomology?

06 July 2016 369 0 View

Potentially semi stable galois representations?

Let E, K be a finite extensions of Q_p and V a finite dimensional E vector space which is also a potentially semistable G_K module (that is, V is semistable over a finite extension of K). Let K'...

05 June 2016 2,848 1 View

Theta Functions as sections of determinant bundles?

Let X be a smooth curve over k, S a noetherian scheme over k, F a vector bundle on X\times_k S, L a line bundle X\times_k S which is the pullback of a line bundle on X. The theta function...

05 June 2016 3,071 2 View

Why is the functor M_{G,X} of families of G bundles on a connected projective curve X not representable?

Let G be a reductive group over k, X a connected projective curve over k. Associate to a scheme S over a field k the set M_{G,X}(S) of isomorphism classes of G bundles on S\times X, this defines a...

04 May 2016 6,100 0 View

How do I find the primes at which an l adic representation associated to a variety is rammified?

We consider the l adic representation of a number field K constructed from an elliptic curve E over K with given rational point 0. So this is basically the natural representation R:Gal(Q^{alg}/K)...

08 September 2015 8,572 1 View

Could you recommend any books about Number Theory?

Beginner level books. High level books. Analytical Number Theory. Algebraic Number Theory. Combinatorical Number Theory. Books about partitions. Books about primes.

03 March 2021 7,174 5 View

Resistor definition in Piezoelectric bimorph with ANSYS workbench

Hello, good day! I am trying to simulate similar bimorph piezoelectric harvester with below commands. However, the output power doesn't change with resistor value. Please help to find the reason. ET,10,CIRCU94,0 !SET UP RESISTOR R,1,100000 !RESISTANCE VALUE TYPE,10 !SET ELEMENT TYPE E,1,2 !CREATE RESISTOR BETWEEN NODES 1 AND 2 Thanks in advance Regards,

02 March 2021 0 0 View

Arena simulation - how do i model the following model in ARENA (see description) (new to ARENA)?

Hello, I'm fairly new to ARENA and I have the following problem: I have two queues in which, in each queue, a different order type arrives (both having an arrival rate of exponential 10). Order...

02 March 2021 2,431 3 View

Why are the velocities so high in my Boussinesq approximation Fluent simulation?

Hello, I have a mechanism where air rises due to convective flows. In this simulation, nothing is driving the air except this. I understand that the Boussinesq approximation only works for small...

02 March 2021 4,910 3 View

What is Flat Lens Antenna?

28 February 2021 5,433 3 View

Can impedance of antenna be less than 50 ohms?

I am simulating helix antenna in hfss, right now, giving excitation with 50 ohms port. When I see the results of Z parameter (real). It shows lower than 50 ohms. Do not understand, if it can be...

27 February 2021 4,218 7 View

What are the application of Fixed points thoery in Chemistry.?

It is said that fixed point theory has lot of applications not in the field of mathematics only but also in various areas. So I am looking for applications in Chemistry only..

26 February 2021 3,533 1 View

Has anyone used the Illumina ITS1 primer sets?

Hi everyone, Illumina provides a list of primers to amplify with high taxonomic coverage the ITS1 region for further fungal sequencing, but I cannot find the exact amount necessary of each...

25 February 2021 6,969 3 View

How do you mesh a thin solid in Fluent?

Hello, I have used the shell function on SpaceClaim to create thin solids for the model I am studying. These are contained within an enclosure for my study. I chose this approach as it avoids the...

24 February 2021 8,856 3 View

How to interpolate from a time-series database ?

Hi, I am having trouble with a problem, in the field of Optimal Control and the generation of optimal time-series. Let's consider a system, whose dynamics are represented by dx/dt =...

24 February 2021 9,105 2 View