Abstract: In my talk I will introduce and review the so-called non-local infinite derivative gravity theory. This gravity modification originates from string field theory and sends signs that it can be UV complete. I will explain the status of these expectations. Then I will pay special account to the possibility of singularities resolution and to application to inflation. Recent results and open questions will be discussed.
---------- This seminar is supported by Portuguese Funds through the CIDMA - Centre for Research and Development in Mathematics and Applications, and the Portuguese Foundation for Science and Technology ("FCT" - Fundação para a Ciência e a Tecnologia), within the project UID/MAT/04106/2013.