A Trace Formula for Foliated Flows
暫譯: 葉狀流的追蹤公式

Jesús A. Álvarez López is a professor at the University of Santiago de Compostela. His PhD was on the cohomology of Riemannian foliations (those with rigid transverse dynamics). Building on this, he collaborated in the study of the leafwise heat flow of Riemannian foliations, obtaining analytic interpretations of his earlier cohomological results, as well as a trace formula for foliated flows, establishing a connection with Deninger's program on arithmetic zeta functions. His other research interests are in equicontinuous foliated spaces, the generic geometry of leaves, Witten's complex on stratified spaces, hypoelliptic PDEs, singular Kähler foliations on pseudomanifolds, and Kazhdan's property (T) for Riemannian foliations. His work has given rise to numerous publications, including the book "Generic coarse geometry of leaves."

Yuri A. Kordyukov graduated in 1984 from the Moscow State University. His PhD (1988) was on elliptic operators on manifolds of bounded geometry and his DSc (2005) was on the analysis of differential operators on foliated manifolds. From 1988 to 2001 he was a professor at the Ufa State Aviation Technical University. Since 2002 he has been at the Institute of Mathematics of the Ufa Federal Research Centre of the Russian Academy of Sciences, currently as a principal researcher. His main research interests are in global analysis and geometry on foliated manifolds, the spectral theory of differential operators, index theory and noncommutative geometry.

Eric Leichtnam is Director of Research at CNRS, based at l'Institut Mathématique de Jussieu-PRG. He defended his PhD Thesis in 1987. His research is in noncommutative geometry and differential geometry, with a particular interest in Deninger's program linking arithmetic zeta functions to foliated spaces. He has published around 50 papers.

Jesús A. Álvarez López 是聖地亞哥德孔波斯特拉大學的教授。他的博士論文研究了黎曼流形的同調（具有剛性橫向動力學的流形）。在此基礎上，他參與了黎曼流形的葉狀熱流的研究，獲得了他早期同調結果的解析詮釋，以及一個葉狀流的跡公式，並建立了與 Deninger 的算術 ζ 函數計畫之間的聯繫。他的其他研究興趣包括等連續葉狀空間、葉的通用幾何、Witten 在分層空間上的複雜性、假橢圓偏微分方程、偽流形上的奇異 Kähler 流形，以及黎曼流形的 Kazhdan 性質 (T)。他的研究工作產生了許多出版物，包括書籍《葉的通用粗幾何》。

Yuri A. Kordyukov 於1984年畢業於莫斯科國立大學。他的博士學位（1988年）研究了有界幾何流形上的橢圓算子，而他的科學博士學位（2005年）則研究了葉狀流形上的微分算子的分析。從1988年到2001年，他在烏法國立航空技術大學擔任教授。自2002年以來，他在俄羅斯科學院烏法聯邦研究中心的數學研究所工作，目前擔任首席研究員。他的主要研究興趣包括葉狀流形上的全球分析和幾何、微分算子的譜理論、指數理論和非交換幾何。

Eric Leichtnam 是法國國家科學研究中心（CNRS）的研究主任，駐於朱西厄數學研究所（l'Institut Mathématique de Jussieu-PRG）。他於1987年辯護了他的博士論文。他的研究領域包括非交換幾何和微分幾何，特別關注 Deninger 的計畫，將算術 ζ 函數與葉狀空間聯繫起來。他已發表約50篇論文。