U.S.-Argentina Planning Visit on Hochschild and Cyclic Homology

9600366魏贝尔国际将对阿根廷的布宜诺斯艾利斯和拉普拉塔进行一次计划访问，以建立与拉普拉塔大学的G.Cortinas和布宜诺斯艾利斯大学的O.Villamayor在Hochschild和循环同源性领域的合作。PI已经与Cortinas一起发表了文章，并将在他们重叠的利益范围内与维拉马约尔和他的“巴赫”团队一起寻求新的方向。这三个人都感兴趣的一个猜想是，从Q-代数的代数K-理论到它的Hochschild同调的迹映射是否保持了Adams运算给出的分解；另一个猜想归因于Berger，研究了正则环上的Kaehler微分模。合作者在建议的领域进行积极的研究计划，所解决的问题是该领域的重要问题。这次访问将提供一个机会，以便制定一个明确的计划，利用三位研究人员的共同努力。***

9600366 Weibel The PI will conduct a planning visit to Buenos Aires and La Plata, Argentina to establish a collaboration with G. Cortinas of Universidad de La Plata and O. Villamayor of Universidad de Buenos Aires in the area of Hochschild and cyclic homology. The PI has already published with Cortinas and will seek new directions with Villamayor and his "BACH" group within their overlapping interests. One conjecture of interest to all three is whether the trace map from the algebraic K-theory of a Q-algebra to its Hochschild homology preserves the decomposition given by Adams operations; another, attributed to Berger, deals with the module of Kaehler differentials over a regular ring. The collaborators conduct active research programs in the proposed areas and the questions addressed are important ones to the field. The visit will provide the opportunity to establish a clear plan to take advantage of the combined efforts of the three researchers. ***