Conference on Designs, Graphs, and Codes

奥本设计、图形和代码会议将于2016年1月29日至31日在阿拉巴马州奥本大学举行。会议将集中讨论组合学的研究进展、数学的拓展以及教与学的学术研究，特别强调图论、设计理论和编码理论。会议将包括邀请和贡献的研究演讲，以及关于外展和教与学奖学金的小组讨论，以及问题讨论。这笔赠款将用于支持参与者的旅行，特别是学生、应届毕业生和传统上代表性不足的群体。更多信息可以在会议网站上找到，https://sites.google.com/site/auburnconferencedgc15/.Design理论，图论和编码理论是现代组合学的前沿学科。设计的传统应用是构建统计实验，然而设计也经常被用来为其他组合学领域的问题提供另一种视角，尤其是图论。这类图论问题包括分解、嵌入、边缘着色和合并。特别是合并，将一个没有结构的难题简化为一个更容易处理的问题。编码理论也通过像范诺平面这样的数学对象与图论和设计理论联系在一起。编码理论有着广泛的应用，其中许多与正确发送和接收电子信号有关。设计、图形和代码的相互联系加强了共同探索这些主题的必要性。此外，数学（以及一般的科学）的增长不仅来自研究，也来自推广和教学。为此目的，本次会议将汇集组合学研究人员和参与数学推广和教与学学术的研究人员进行合作。

The Auburn Conference on Designs, Graphs and Codes will be held at Auburn University in Auburn, Alabama, from January 29th to 31st, 2016. The conference will focus on the advancement of research in combinatorics, outreach in mathematics, and the scholarship of teaching and learning, with specific emphasis on graph theory, design theory, and coding theory. The conference will feature both invited and contributed research talks, as well as panel discussions on outreach and the scholarship of teaching and learning, and a problem session. This grant will be used to support travel for participants, especially for students, recent graduates, and traditionally underrepresented groups. More information may be found on the conference website, at https://sites.google.com/site/auburnconferencedgc15/.Design theory, graph theory, and coding theory are subjects at the forefront of modern day combinatorics. The traditional applications of designs reside in constructing statistical experiments, however designs can frequently be used to provide an alternative lens for problems in other areas of combinatorics, especially graph theory. Such graph theoretic problems include decompositions, embeddings, edge-colorings, and amalgamations. Amalgamations, in particular, take a difficult problem with little structure and simplify to a problem that is easier to handle. Coding theory is also connected to graph theory and design theory through mathematical objects like the Fano plane. Coding theory has boundless applications, many of which are related to sending and receiving electronic signals correctly. The interconnectivity of designs, graphs, and codes, strengthens the need to explore these subjects together. Furthermore, growth in the mathematics (and in sciences in general) comes not just from research, but also from outreach and teaching as well. To this end, this conference will draw together for collaboration both researchers in combinatorics and those involved with mathematics outreach and the scholarship of teaching and learning.