Epsilon factors of symplectic type characters in the wild case

By work of John Tate we can associate an epsilon factor with every multiplicative character of a local field. In this paper, we determine the explicit signs of the epsilon factors for symplectic type characters of K × {K^{\times}} , where K / F {K/F} is a wildly ramified quadratic extension of a non-Archimedean local field F of characteristic zero.

The effect of interpersonal communication skills and work motivation on performance of marketing employee

To improve and maintain the performance of the marketing department employee, the company should improve the capacity and capability of the employees. This research aimed to investigate the influence of interpersonal communication and work motivation on employee performance marketing. This research uses a quantitative approach method with path analysis method. This study uses survey technique with the primary data collection tool in the form of a questionnaire. The study was conducted at the Jabar Banten Shariah Bank Bandung branch, with respondents as many as 33 people. The test results show that partial and or simultaneously, interpersonal communication and work motivation have significant positive effect on employee performance. The results show that the value of the determinant obtained for 0808, this means that the variables of interpersonal communication and motivation can explain the employees’ performance by 80.0 %, while 19.2 % is influenced by other variables that are not included in the model. Epsilon factors are leadership, organizational culture, facilities and infrastructure in the works, and others. The result show that performance of the marketing department can be improved through the development of interpersonal communication capacity of employees and strengthening of motivation to work.

Endoscopie et conjecture locale raffinée de Gan–Gross–Prasad pour les groupes unitaires

Under endoscopic assumptions about $L$-packets of unitary groups, we prove the local Gan–Gross–Prasad conjecture for tempered representations of unitary groups over $p$-adic fields. Roughly, this conjecture says that branching laws for $U(n-1)\subset U(n)$ can be computed using epsilon factors.

Product formula for p -adic epsilon factors

Let $X$ be a smooth proper curve over a finite field of characteristic $p$. We prove a product formula for $p$-adic epsilon factors of arithmetic $\mathscr{D}$-modules on $X$. In particular we deduce the analogous formula for overconvergent $F$-isocrystals, which was conjectured previously. The $p$-adic product formula is a counterpart in rigid cohomology of the Deligne–Laumon formula for epsilon factors in $\ell$-adic étale cohomology (for $\ell \neq p$). One of the main tools in the proof of this $p$-adic formula is a theorem of regular stationary phase for arithmetic $\mathscr{D}$-modules that we prove by microlocal techniques.