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Leonard finds a letter in the trash can, the letter an invitation for him and Sheldon to speak at an upcoming conference on the topic of their latest joint research findings. Sheldon threw the letter out since he didn't want to do it. This brings to the forefront several issues. Has Sheldon thrown out any other important letters to Leonard? Who has the right to their joint intellectual property, especially if Leonard wants to present? Whose idea was the research to begin with? In Penny's eyes, does Leonard own anything appropriate to wear to the conference? Can Leonard and Sheldon come to a compromise so that they will speak to each other and be friends again?