scholarly journals BEYOND ENDOSCOPY FOR THE RELATIVE TRACE FORMULA II: GLOBAL THEORY

2017 ◽  
Vol 18 (2) ◽  
pp. 347-447 ◽  
Author(s):  
Yiannis Sakellaridis
Keyword(s):  
Trace Formula ◽  
The Other ◽  
Test Functions ◽  
Trace Formulas ◽  
Global Theory ◽  
Relative Trace Formula ◽  
Kuznetsov Trace Formula ◽  
The One ◽  
Beyond Endoscopy

For the group $G=\operatorname{PGL}_{2}$ we perform a comparison between two relative trace formulas: on the one hand, the relative trace formula of Jacquet for the quotient $T\backslash G/T$, where $T$ is a nontrivial torus, and on the other the Kuznetsov trace formula (involving Whittaker periods), applied to nonstandard test functions. This gives a new proof of the celebrated result of Waldspurger on toric periods, and suggests a new way of comparing trace formulas, with some analogies to Langlands’ ‘Beyond Endoscopy’ program.

scholarly journals A RELATIVE TRACE FORMULA FOR A COMPACT RIEMANN SURFACE

2011 ◽  
Vol 07 (02) ◽  
pp. 389-429 ◽  
Author(s):  
KIMBALL MARTIN ◽  
MARK MCKEE ◽  
ERIC WAMBACH
Keyword(s):  
Riemann Surface ◽  
Trace Formula ◽  
Closed Geodesic ◽  
Compact Riemann Surface ◽  
Trace Formulas ◽  
Asymptotic Results ◽  
Relative Trace Formula

We study a relative trace formula for a compact Riemann surface with respect to a closed geodesic C. This can be expressed as a relation between the period spectrum and the ortholength spectrum of C. This provides a new proof of asymptotic results for both the periods of Laplacian eigenforms along C as well estimates on the lengths of geodesic segments which start and end orthogonally on C. Variant trace formulas also lead to several simultaneous nonvanishing results for different periods.

scholarly journals O conceito hegeliano de “Fenomenologia” e o problema do ceticismo

2006 ◽  
Vol 51 (1) ◽  
Author(s):  
Juan Adolfo Bonaccini
Keyword(s):  
Special Kind ◽  
The Other ◽  
Theory Of Knowledge ◽  
Global Theory ◽  
Truth Claim ◽  
History Of ◽  
The Subject ◽  
The One ◽  
Relationship Of ◽  
The Relationship

A relação de Hegel com o ceticismo está longe de ser clara. A par de existirem alguns poucos trabalhos sobre o assunto, e de Hegel abordar o tema em várias obras, não está bem determinado se Hegel possui uma teoria global sobre o ceticismo ou se apenas é um mero crítico de posturas céticas clássicas na antiguidade e na modernidade. Em que pese Hegel ser um crítico ferrenho do ceticismo moderno (por ex., em textos como Sobre a relação do Ceticismo com a Filosofia, as Preleções sobre História da Filosofia e a Enciclopédia das Ciências Filosóficas), a sua crítica não se restringe a esta ou aquela forma de ceticismo, mas se funda numa teoria geral do saber que compreende o ceticismo como uma atividade negativa constitutiva da consciência e pretende refutá-lo enquanto ele reifica essa negatividade numa pretensão de verdade. A refutação consiste na descrição do modo como o ceticismo filosófico seria um saber parcial, e por isso auto-refutativo. O presente trabalho pretende sugerir que isto ocorre, sobretudo, na Fenomenologia do Espírito, cujo caráter “fenomenológico” propriamente dito não parece poder ser bem compreendido, sem tomar como pano de fundo o problema do ceticismo. PALAVRAS-CHAVE – Hegel. Fenomenologia. Ceticismo. Refutação. ABSTRACT Hegel’s position towards skepticism is far from being clear. On the one hand, there are just a few studies on the subject and Hegel faces the issue in several of his writings; on the other hand, it is not established yet if Hegel has a global theory about skepticism or if he is just a critic of Ancient and Modern skeptical attitudes. In spite of Hegel being known as a sharp critic of Modern skepticism (for example, in works like On the relationship of skepticism to philosophy, Lectures on the history of philosophy and Encyclopedia of philosophical sciences), his criticism is not restricted to specific forms of skepticism, but it is rather founded upon a general theory of knowledge which takes skepticism as a negative activity constitutive of our natural consciousness and intends to refute the skeptical attitude as that negative activity of self-consciousness is reified and turned out into a special kind of truth claim. Hegel’s refutation consists in describing the way philosophical skepticism would be understood as a partial and self-defeating attitude of knowing. The present study suggests that this procedure is to be seen above all in the Phenomenology of Mind, whose “phenomenological” character cannot be rightly understood without taking properly into account the problem of skepticism. KEY WORDS: Hegel. Phenomenology. Skepticism. Refutation.

scholarly journals An orthogonality relation for a thin family of GL(3) Maass forms

2015 ◽  
Vol 11 (08) ◽  
pp. 2277-2294
Author(s):  
João Guerreiro
Keyword(s):  
Trace Formula ◽  
Orthogonality Relation ◽  
Test Functions ◽  
Maass Forms ◽  
Weyl’S Law ◽  
Kuznetsov Trace Formula ◽  
Weyl's Law ◽  
Dual Forms

We prove an orthogonality relation for the Fourier–Whittaker coefficients of a thin family of GL(3) Maass forms containing all self-dual forms. This is obtained by analyzing the Kuznetsov trace formula on GL(3) for a certain family of test functions. The method also yields Weyl's law for the same family of Maass forms.

Note on Selection of Coordinate Systems for Geodynamics

1975 ◽  
Vol 26 ◽  
pp. 395-407
Author(s):  
S. Henriksen
Keyword(s):  
Sea Level ◽  
The Other ◽  
Coordinate Systems ◽  
Mean Sea Level ◽  
The Earth ◽  
The One ◽  
Static Systems ◽  
Selection Of

The first question to be answered, in seeking coordinate systems for geodynamics, is: what is geodynamics? The answer is, of course, that geodynamics is that part of geophysics which is concerned with movements of the Earth, as opposed to geostatics which is the physics of the stationary Earth. But as far as we know, there is no stationary Earth – epur sic monere. So geodynamics is actually coextensive with geophysics, and coordinate systems suitable for the one should be suitable for the other. At the present time, there are not many coordinate systems, if any, that can be identified with a static Earth. Certainly the only coordinate of aeronomic (atmospheric) interest is the height, and this is usually either as geodynamic height or as pressure. In oceanology, the most important coordinate is depth, and this, like heights in the atmosphere, is expressed as metric depth from mean sea level, as geodynamic depth, or as pressure. Only for the earth do we find “static” systems in use, ana even here there is real question as to whether the systems are dynamic or static. So it would seem that our answer to the question, of what kind, of coordinate systems are we seeking, must be that we are looking for the same systems as are used in geophysics, and these systems are dynamic in nature already – that is, their definition involvestime.

Stories and the Self

2020 ◽  
Vol 32 (2) ◽  
pp. 47-58 ◽  
Author(s):  
Stefan Krause ◽  
Markus Appel
Keyword(s):  
Meta Analysis ◽  
The Self ◽  
The Other ◽  
Lower Degree ◽  
Contrast Effects ◽  
Self Perception ◽  
Self Perceptions ◽  
Other Hand ◽  
The One ◽  
Implicit And Explicit

Abstract. Two experiments examined the influence of stories on recipients’ self-perceptions. Extending prior theory and research, our focus was on assimilation effects (i.e., changes in self-perception in line with a protagonist’s traits) as well as on contrast effects (i.e., changes in self-perception in contrast to a protagonist’s traits). In Experiment 1 ( N = 113), implicit and explicit conscientiousness were assessed after participants read a story about either a diligent or a negligent student. Moderation analyses showed that highly transported participants and participants with lower counterarguing scores assimilate the depicted traits of a story protagonist, as indicated by explicit, self-reported conscientiousness ratings. Participants, who were more critical toward a story (i.e., higher counterarguing) and with a lower degree of transportation, showed contrast effects. In Experiment 2 ( N = 103), we manipulated transportation and counterarguing, but we could not identify an effect on participants’ self-ascribed level of conscientiousness. A mini meta-analysis across both experiments revealed significant positive overall associations between transportation and counterarguing on the one hand and story-consistent self-reported conscientiousness on the other hand.

Radioimmunotherapy for treatment of acute myeloid leukaemia and myelodysplastic syndrome

2005 ◽  
Vol 44 (03) ◽  
pp. 107-117
Author(s):  
R. G. Meyer ◽  
W. Herr ◽  
A. Helisch ◽  
P. Bartenstein ◽  
I. Buchmann
Keyword(s):  
Acute Myeloid Leukaemia ◽  
Myeloid Leukaemia ◽  
Primary Tumour ◽  
The Other ◽  
Haematopoietic Stem Cell ◽  
Other Hand ◽  
Primary Reduction ◽  
The One ◽  
Acute Myeloid

SummaryThe prognosis of patients with acute myeloid leukaemia (AML) has improved considerably by introduction of aggressive consolidation chemotherapy and haematopoietic stem cell transplantation (SCT). Nevertheless, only 20-30% of patients with AML achieve long-term diseasefree survival after SCT. The most common cause of treatment failure is relapse. Additionally, mortality rates are significantly increased by therapy-related causes such as toxicity of chemotherapy and complications of SCT. Including radioimmunotherapies in the treatment of AML and myelodyplastic syndrome (MDS) allows for the achievement of a pronounced antileukaemic effect for the reduction of relapse rates on the one hand. On the other hand, no increase of acute toxicity and later complications should be induced. These effects are important for the primary reduction of tumour cells as well as for the myeloablative conditioning before SCT.This paper provides a systematic and critical review of the currently used radionuclides and immunoconjugates for the treatment of AML and MDS and summarizes the literature on primary tumour cell reductive radioimmunotherapies on the one hand and conditioning radioimmunotherapies before SCT on the other hand.

Das Ende der Postdemokratie, den Pessimismus überwinden.

2017 ◽  
Vol 47 (188) ◽  
pp. 487-494
Author(s):  
Daniel Mullis
Keyword(s):  
Political Thought ◽  
Social Dynamics ◽  
Social Conditions ◽  
The Other ◽  
Economic Decline ◽  
Far Right ◽  
Windows Of Opportunity ◽  
Political Events ◽  
Political Struggles ◽  
The One

In recent years, political and social conditions have changed dramatically. Many analyses help to capture these dynamics. However, they produce political pessimism: on the one hand there is the image of regression and on the other, a direct link is made between socio-economic decline and the rise of the far-right. To counter these aspects, this article argues that current political events are to be understood less as ‘regression’ but rather as a moment of movement and the return of deep political struggles. Referring to Jacques Ranciere’s political thought, the current conditions can be captured as the ‘end of post-democracy’. This approach changes the perspective on current social dynamics in a productive way. It allows for an emphasis on movement and the recognition of the windows of opportunity for emancipatory struggles.

Tolerance is theoretical and practical principles

1996 ◽  
pp. 13-23
Author(s):  
Mykhailo Babiy
Keyword(s):  
Religious Diversity ◽  
The Other ◽  
Nodal Points ◽  
Characteristic Features ◽  
The One ◽  
Ukrainian Society

Political ideological pluralism, religious diversity are characteristic features of modern Ukrainian society. On the one hand, multiculturalism, socio-political, religious differentiation of the latter appear as important characteristics of its democracy, as a practical expression of freedom, on the other - as a factor that led to the deconsocialization of society, gave rise to "nodal points" of tension, confrontational processes, in particular, in political and religious spheres.

The Salvage of Ideas: Schumpeter and the Core Problems Still Confronting Economics

2003 ◽  
pp. 15-26
Author(s):  
P. Wynarczyk
Keyword(s):  
The Other ◽  
The Core ◽  
Other Hand ◽  
The One

Two aspects of Schumpeter' legacy are analyzed in the article. On the one hand, he can be viewed as the custodian of the neoclassical harvest supplementing to its stock of inherited knowledge. On the other hand, the innovative character of his works is emphasized that allows to consider him a proponent of hetherodoxy. It is stressed that Schumpeter's revolutionary challenge can lead to radical changes in modern economics.

Hidden “holes” in the capital of banks and the supply of credit to the real sector of economy

2018 ◽  
pp. 49-68 ◽  
Author(s):  
M. E. Mamonov
Keyword(s):  
Credit Risk ◽  
The Other ◽  
Real Sector ◽  
Capital Management ◽  
Loan Loss ◽  
Short Term ◽  
The Real ◽  
Ex Post ◽  
The One

Our analysis documents that the existence of hidden “holes” in the capital of not yet failed banks - while creating intertemporal pressure on the actual level of capital - leads to changing of maturity of loans supplied rather than to contracting of their volume. Long-term loans decrease, whereas short-term loans rise - and, what is most remarkably, by approximately the same amounts. Standardly, the higher the maturity of loans the higher the credit risk and, thus, the more loan loss reserves (LLP) banks are forced to create, increasing the pressure on capital. Banks that already hide “holes” in the capital, but have not yet faced with license withdrawal, must possess strong incentives to shorten the maturity of supplied loans. On the one hand, it raises the turnovers of LLP and facilitates the flexibility of capital management; on the other hand, it allows increasing the speed of shifting of attracted deposits to loans to related parties in domestic or foreign jurisdictions. This enlarges the potential size of ex post revealed “hole” in the capital and, therefore, allows us to assume that not every loan might be viewed as a good for the economy: excessive short-term and insufficient long-term loans can produce the source for future losses.

Sign in / Sign up

Export Citation Format

Share Document