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

PI将对阿根廷的布宜诺斯艾利斯和拉普拉塔进行计划访问，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和循环同源性领域建立合作关系。PI已经与科尔蒂纳斯发表了文章，并将在他们重叠的利益范围内与维拉马约尔和他的“巴赫”集团寻求新的方向。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留亚当斯运算给出的分解；另一个由Berger提出，研究的是正则环上的Kaehler微分模。合作者在提议的领域进行积极的研究项目，所解决的问题是该领域的重要问题。这次访问将为制定一个明确的计划提供机会，以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. ***